CAT 2019 Time, Speed and Distance Question (Medium)

Question

John jogs on track A at 6 kmph and Mary jogs on track B at 7.5 kmph. The total length of tracks A and B is 325 metres. While John makes 9 rounds of track A, Mary makes 5 rounds of track B. In how many seconds will Mary make one round of track A?

Accepted Answer

Step 1 Let the lengths of tracks A and B be and meters, respectively. We are given John s speed 6 km h m s Mary s speed 7.5 km h m s John makes 9 rounds of A, Mary makes 5 rounds of B, in the same time Step 2 Let be the time in seconds they both take. Then John Mary Equating both expressions for Ste

CAT 2019

Quantitative

Time, Speed and Distance

Medium

John jogs on track A at 6 kmph and Mary jogs on track B at 7.5 kmph. The total length of tracks A and B is 325 metres. While John makes 9 rounds of track A, Mary makes 5 rounds of track B. In how many seconds will Mary make one round of track A?

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