Difference between speeds of two cars
CAT 2018 Slot 2 · Quantitative Ability · Easy · Speed, Distance & Time
This is an easy Quantitative Ability question from the CAT 2018 Slot 2 paper. It tests Speed, Distance & Time. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.
On a long stretch of east-west road, A and B are two points such that B is 350 km west of A. One car starts from A and another from B at the same time. If they move towards each other, then they meet after 1 hour. If they both move towards east, then they meet in 7 hrs. The difference between their speeds, in km per hour, is
50
Explanation
Let the speed of the car starting from B be and the car starting from A be . Since both move towards east and meet, car B catches up to car A, so relative speed in same direction .
Distance . When moving towards east, they meet in 7 hours:
Hence, the difference between their speeds is .
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