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The ratio of the speed of P, Q and R is 2 : 3 : 5. If all the three covers equal distance then the ratio of time taken by P, Q and R respectively are: -

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Question

The ratio of the speed of P, Q and R is 2 : 3 : 5. If all the three covers equal distance then the ratio of time taken by P, Q and R respectively are:

Options

  • 5 : 3 : 2

  • 15 : 10 : 6

  • 6 : 10 : 9

  • 3 : 4 : 5

MCQ

Solution

15 : 10 : 6

Explanation:

Since distance is constant, time is inversely proportional to speed (because at a higher speed, time taken to cover the same distance would be lesser, and at a lower speed, time taken would be more).

Ratio of speed = 2 : 3 : 5

Ratio of time = `1/2 : 1/3 : 1/5`

= `1/2 xx 30 : 1/3 xx 30 : 1/5 xx 30`

= 15 : 10 : 6

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Ratio and Proportion (Entrance Exam)
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