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A bus travels (240\text{ km}). If its speed were (20\text{ km/h}) less, it would take (1\text{ h}) more. What is the actual speed of the bus?एक बस (240\text{ km}) यात्रा करती है। यदि चाल (20\text{ km/h}) कम होती, तो समय (1\text{ h}) अधिक लगता। बस की वास्तविक चाल क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (80\text{ km/h})(80\text{ 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).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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