If the ratio of speed of doing work of three persons is 1 3 5 what is the ratio of time taken by the...........

Quant (SSC) Time and work

If the ratio of speed of doing work of three persons is 1 : 3 : 5, what is the ratio of time taken by these people to do the same amount of work?

15 : 5 : 7

3 : 15 : 5

15 : 3 : 5

15 : 5 : 3

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Explanation:

Let the speed of doing work of the three persons be 1x, 3x and 5x respectively
Time taken by each person = amount of work done/speed of doing work
Let the amount of work for each person = y (? work done is same)
The time taken by the first person = x/y
The time taken by the second person = y/3x
The time taken by the third person = y/5x
The ratio of time taken = y/x : y/3x : y/5x
⇒ 1 : 1/3 : 1/5 = 15 : 5 : 3