Concept-wise Practice

speed time distance MCQ Questions for Class 10

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Practice Questions

13 questions tagged with speed time distance.

Question 1/13 Expert Mathematics Quadratic Equations 5. Word Problems and Applications Class 10 Level 42

एक बस (300) किमी जाती है। यदि चाल (10) किमी प्रति घंटा कम होती तो (1) घंटा अधिक लगता। वास्तविक चाल क्या है?

A bus travels (300) km. If its speed were (10) km per hour less, it would take (1) hour more. What is the actual speed?

Explanation opens after your attempt
Correct Answer

B. (60) किमी प्रति घंटा(60) km per hour

Step 1

Concept

Let the speed be (x). Then \(\frac{300}{x-10}-\frac{300}{x}=1\). This gives \(x^2-10x-3000=0\), so (x=60).

Step 2

Why this answer is correct

The correct answer is B. (60) किमी प्रति घंटा / (60) km per hour. Let the speed be (x). Then \(\frac{300}{x-10}-\frac{300}{x}=1\). This gives \(x^2-10x-3000=0\), so (x=60).

Step 3

Exam Tip

चाल (x) हो तो \(\frac{300}{x-10}-\frac{300}{x}=1\)। इससे \(x^2-10x-3000=0\) और (x=60) मिलता है।

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Question 2/13 Expert Mathematics Quadratic Equations 5. Word Problems and Applications Class 10 Level 42

एक ट्रेन (360) किमी की दूरी तय करती है। यदि उसकी चाल (5) किमी प्रति घंटा अधिक होती तो समय (1) घंटा कम लगता। मूल चाल क्या थी?

A train covers (360) km. If its speed were (5) km per hour more, it would take (1) hour less. What was the original speed?

Explanation opens after your attempt
Correct Answer

A. (40) किमी प्रति घंटा(40) km per hour

Step 1

Concept

Let the speed be (x). Then \(\frac{360}{x}-\frac{360}{x+5}=1\). This gives \(x^2+5x-1800=0\), so (x=40).

Step 2

Why this answer is correct

The correct answer is A. (40) किमी प्रति घंटा / (40) km per hour. Let the speed be (x). Then \(\frac{360}{x}-\frac{360}{x+5}=1\). This gives \(x^2+5x-1800=0\), so (x=40).

Step 3

Exam Tip

चाल (x) हो तो \(\frac{360}{x}-\frac{360}{x+5}=1\)। इससे \(x^2+5x-1800=0\) और (x=40) मिलता है।

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Question 3/13 Medium Mathematics Quadratic Equations 5. Word Problems and Applications Class 10 Level 42

एक बस (180,किमी) की दूरी तय करती है। गति (15,किमी/घंटा) कम करने पर समय (1,घंटा) बढ़ जाता है। मूल गति क्या थी?

A bus covers (180,km). If its speed is reduced by (15,km/h), the time increases by (1,hour). What was the original speed?

Explanation opens after your attempt
Correct Answer

D. \((60,\text{किमी\)घंटा}) / (60,km / h)

Step 1

Concept

If the speed is (x), then \(\frac{180}{x-15}-\frac{180}{x}=1\). Solving gives (x=60).

Step 2

Why this answer is correct

The correct answer is D. (60,किमी / घंटा) / (60,km / h\(). If the speed is (x), then (\frac{180}{x-15}-\frac{180}{x}=1). Solving gives (x=60).\)

Step 3

Exam Tip

यदि गति (x) है तो \(\frac{180}{x-15}-\frac{180}{x}=1\)। हल से (x=60) है।

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Question 4/13 Medium Mathematics Quadratic Equations 5. Word Problems and Applications Class 10 Level 42

एक वाहन (150,किमी) की दूरी तय करता है। गति (5,किमी/घंटा) बढ़ाने पर समय (1,घंटा) कम हो जाता है। मूल गति क्या थी?

A vehicle covers (150,km). When its speed is increased by (5,km/h), the time decreases by (1,hour). What was the original speed?

Explanation opens after your attempt
Correct Answer

B. \((25,\text{किमी\)घंटा}) / (25,km / h)

Step 1

Concept

If the speed is (x), then \(\frac{150}{x}-\frac{150}{x+5}=1\). Solving gives (x=25).

Step 2

Why this answer is correct

The correct answer is B. (25,किमी / घंटा) / (25,km / h\(). If the speed is (x), then (\frac{150}{x}-\frac{150}{x+5}=1). Solving gives (x=25).\)

Step 3

Exam Tip

यदि गति (x) है तो \(\frac{150}{x}-\frac{150}{x+5}=1\)। हल करने पर (x=25) मिलता है।

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Question 5/13 Medium Mathematics Quadratic Equations 5. Word Problems and Applications Class 10 Level 42

एक कार (240,किमी) की दूरी तय करती है। गति (20,किमी/घंटा) बढ़ाने पर समय (1,घंटा) कम हो जाता है। मूल गति क्या थी?

A car covers (240,km). If the speed is increased by (20,km/h), the time decreases by (1,hour). What was the original speed?

Explanation opens after your attempt
Correct Answer

C. \((60,\text{किमी\)घंटा}) / (60,km / h)

Step 1

Concept

If the speed is (x), then \(\frac{240}{x}-\frac{240}{x+20}=1\). Solving gives (x=60).

Step 2

Why this answer is correct

The correct answer is C. (60,किमी / घंटा) / (60,km / h\(). If the speed is (x), then (\frac{240}{x}-\frac{240}{x+20}=1). Solving gives (x=60).\)

Step 3

Exam Tip

यदि गति (x) है तो \(\frac{240}{x}-\frac{240}{x+20}=1\)। हल करने पर (x=60) मिलता है।

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Question 6/13 Expert Mathematics Quadratic Equations 5. Word Problems and Applications Class 10 Level 41

एक ट्रेन (300 km) दूरी तय करती है। यदि उसकी चाल (10 km/h) अधिक होती, तो समय (1 h) कम लगता। ट्रेन की वास्तविक चाल क्या थी?

A train covers a distance of (300 km). If its speed were (10 km/h) more, it would take (1 h) less. What was the actual speed of the train?

Explanation opens after your attempt
Correct Answer

B. \((50\text{ km\)h})

Step 1

Concept

Let the actual speed be (x km/h\(), then (\frac{300}{x}-\frac{300}{x+10}=1). This gives (x^2+10x-3000=0), so the positive root is (x=50).\)

Step 2

Why this answer is correct

The correct answer is B. (50 km / h). Let the actual speed be (x km/h\(), then (\frac{300}{x}-\frac{300}{x+10}=1). This gives (x^2+10x-3000=0), so the positive root is (x=50).\)

Step 3

Exam Tip

वास्तविक चाल (x km/h) मानें, तब \(\frac{300}{x}-\frac{300}{x+10}=1\)। \(इससे (x^2+10x-3000=0), इसलिए धनात्मक मूल (x=50) है\)।

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Question 7/13 Expert Mathematics Quadratic Equations 5. Word Problems and Applications Class 10 Level 41

एक बस (240 km) यात्रा करती है। यदि चाल (20 km/h) कम होती, तो समय (1 h) अधिक लगता। बस की वास्तविक चाल क्या है?

A bus travels (240 km). If its speed were (20 km/h) less, it would take (1 h) more. What is the actual speed of the bus?

Explanation opens after your attempt
Correct Answer

C. \((80\text{ km\)h})

Step 1

Concept

Let the actual speed be (x), then \(\frac{240}{x-20}-\frac{240}{x}=1\). This gives \(x^2-20x-4800=0\), so (x=80).

Step 2

Why this answer is correct

The correct answer is C. (80 km / h\(). Let the actual speed be (x), then (\frac{240}{x-20}-\frac{240}{x}=1). This gives (x^2-20x-4800=0), so (x=80).\)

Step 3

Exam Tip

वास्तविक चाल (x) हो, तो \(\frac{240}{x-20}-\frac{240}{x}=1\)। इससे \(x^2-20x-4800=0\), इसलिए (x=80)।

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Question 8/13 Expert Mathematics Quadratic Equations 5. Word Problems and Applications Class 10 Level 41

एक व्यक्ति (150 km) कार से जाता है। वापसी में चाल (25 km/h) कम होने से (1 h) अधिक लगता है। जाते समय की चाल क्या थी?

A person travels (150 km) by car. On return, the speed is (25 km/h) less and the time is (1 h) more. What was the onward speed?

Explanation opens after your attempt
Correct Answer

C. \((75\text{ km\)h})

Step 1

Concept

Let the onward speed be (x), then \(\frac{150}{x-25}-\frac{150}{x}=1\). This gives \(x^2-25x-3750=0\), so (x=75).

Step 2

Why this answer is correct

The correct answer is C. (75 km / h\(). Let the onward speed be (x), then (\frac{150}{x-25}-\frac{150}{x}=1). This gives (x^2-25x-3750=0), so (x=75).\)

Step 3

Exam Tip

जाते समय चाल (x) हो, तो \(\frac{150}{x-25}-\frac{150}{x}=1\)। इससे \(x^2-25x-3750=0\), इसलिए (x=75)।

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Question 9/13 Expert Mathematics Quadratic Equations 5. Word Problems and Applications Class 10 Level 41

एक ट्रेन (360 km) दूरी तय करती है। यदि चाल (10 km/h) अधिक होती, तो समय (3 h) कम लगता। मूल चाल क्या थी?

A train covers (360 km). If its speed were (10 km/h) more, it would take (3 h) less. What was the original speed?

Explanation opens after your attempt
Correct Answer

A. \((30\text{ km\)h})

Step 1

Concept

Let the original speed be (x), then \(\frac{360}{x}-\frac{360}{x+10}=3\). This gives \(x^2+10x-1200=0\), so (x=30).

Step 2

Why this answer is correct

The correct answer is A. (30 km / h\(). Let the original speed be (x), then (\frac{360}{x}-\frac{360}{x+10}=3). This gives (x^2+10x-1200=0), so (x=30).\)

Step 3

Exam Tip

मूल चाल (x) हो, तो \(\frac{360}{x}-\frac{360}{x+10}=3\)। इससे \(x^2+10x-1200=0\), इसलिए (x=30)।

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Question 10/13 Expert Mathematics Quadratic Equations 5. Word Problems and Applications Class 10 Level 40

एक कार (800) किमी दूरी तय करती है। यदि उसकी गति (x) किमी प्रति घंटा है और समय (x-92) घंटा है, तो गति क्या है?

A car covers (800) km. If its speed is (x) km per hour and time is (x-92) hours, what is the speed?

Explanation opens after your attempt
Correct Answer

B. (100) किमी प्रति घंटा(100) km per hour

Step 1

Concept

Distance (=) speed \(\times\) time gives (x(x-92)=800). The positive solution is (x=100).

Step 2

Why this answer is correct

The correct answer is B. (100) किमी प्रति घंटा / (100) km per hour. Distance (=) speed \(\times\) time gives (x(x-92)=800). The positive solution is (x=100).

Step 3

Exam Tip

दूरी (=) गति \(\times\) समय से (x(x-92)=800) बनता है। धनात्मक हल (x=100) है।

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Question 11/13 Hard Mathematics Quadratic Equations 5. Word Problems and Applications Class 10 Level 42

एक कार (720) किमी दूरी तय करती है। यदि उसकी गति (x) किमी प्रति घंटा है और समय (x-72) घंटा है, तो गति क्या है?

A car covers (720) km. If its speed is (x) km per hour and time is (x-72) hours, what is the speed?

Explanation opens after your attempt
Correct Answer

B. (80) किमी प्रति घंटा(80) km per hour

Step 1

Concept

Distance (=) speed \(\times\) time gives (x(x-72)=720). The positive solution is (x=80).

Step 2

Why this answer is correct

The correct answer is B. (80) किमी प्रति घंटा / (80) km per hour. Distance (=) speed \(\times\) time gives (x(x-72)=720). The positive solution is (x=80).

Step 3

Exam Tip

दूरी (=) गति \(\times\) समय से (x(x-72)=720) बनता है। धनात्मक हल (x=80) है।

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Question 12/13 Hard Mathematics Quadratic Equations 5. Word Problems and Applications Class 10 Level 41

एक कार (450) किमी दूरी तय करती है। यदि उसकी गति (x) किमी प्रति घंटा है और समय (x-65) घंटा है, तो गति क्या है?

A car covers (450) km. If its speed is (x) km per hour and time is (x-65) hours, what is the speed?

Explanation opens after your attempt
Correct Answer

C. (75) किमी प्रति घंटा(75) km per hour

Step 1

Concept

Distance (=) speed \(\times\) time gives (x(x-65)=450). The positive solution is (x=75).

Step 2

Why this answer is correct

The correct answer is C. (75) किमी प्रति घंटा / (75) km per hour. Distance (=) speed \(\times\) time gives (x(x-65)=450). The positive solution is (x=75).

Step 3

Exam Tip

दूरी (=) गति \(\times\) समय से (x(x-65)=450) बनता है। धनात्मक हल (x=75) है।

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Question 13/13 Hard Mathematics Quadratic Equations 5. Word Problems and Applications Class 10 Level 40

एक कार (240) किमी दूरी तय करती है। यदि उसकी गति (x) किमी प्रति घंटा है और समय (x-46) घंटा है, तो गति क्या है?

A car covers (240) km. If its speed is (x) km per hour and time is (x-46) hours, what is the speed?

Explanation opens after your attempt
Correct Answer

B. (50) किमी प्रति घंटा(50) km per hour

Step 1

Concept

Distance (=) speed \(\times\) time gives (x(x-46)=240). The positive solution is (x=50).

Step 2

Why this answer is correct

The correct answer is B. (50) किमी प्रति घंटा / (50) km per hour. Distance (=) speed \(\times\) time gives (x(x-46)=240). The positive solution is (x=50).

Step 3

Exam Tip

दूरी (=) गति \(\times\) समय से (x(x-46)=240) बनता है। धनात्मक हल (x=50) है।

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