There is a race of 1 km among Hiten Vikash and Priyank Hiten and Vikash run 1 km and Hiten wins by 1...........

Quant (SSC) Time & distance

There is a race of 1 km among Hiten, Vikash and Priyank. Hiten and Vikash run 1 km and Hiten wins by 10 seconds. Hiten and Priyank run 1 km and Hiten wins by 125 mt. When Vikash and Priyank run a km, Vikash wins by 15 seconds. What is the ratio of time taken by Hiten and Vikash to run a km?

38 : 31

33 : 35

35 : 37

13 : 47

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Explanation:

If Hiten covers 1 km in x seconds, Vikash covers the same distance in (x +10) seconds.
If Hiten covers 1 km, then in the same time Priyank covers only 875 mt.
If Vikash covers 1 km in (x + 10) sec, then Priyank covers 1 km in (x + 25) sec

Thus in x seconds Priyank covers the distance of 875 mt.
⇒ x /875 x 1000 = x + 25
⇒ x = 175

Time taken by Hiten to complete 1 km = 175 seconds

Time taken by Vikash to complete 1 km = 185 seconds

Required ratio = 175 : 185 = 35 : 37