The ratio between the rates of travelling of A and B is 2 : 3 and therefore A takes 20 min more than time taken by B to reach a destination. If A had walked at double the speed, how long would he have taken to cover the distance?

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INSURANCE EXAMS (NICL) 2013 click here to view all questions

The ratio between the rates of travelling of A and B is 2 : 3 and therefore A takes 20 min more than time taken by B to reach a destination. If A had walked at double the speed, how long would he have taken to cover the distance?

A30 min

B35 min

C20 min

D45 min

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Correct answer is: 30 min Explanation: We know that speed is inversely proportional to time. Therefore, Time taken by A : Time taken by B = Let B takes x min. Then, A takes (x + 20) min. $\therefore \left(x+20\right) : x = \frac{1}{2}:\frac{1}{3}=3:2$ $\implies \frac{x+20}{x}=\frac{3}{2} \implies 2x+40 = 3x$ $x=40$ $(x+20) \text{ or } \left(40+20\right) = 60 min$ Therefore, At double the speed, A would have covered it in 30 min. Nithin ? answered undefined All Comments

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