# On a long stretch of east-west | Quantitative Aptitude - Arithmetic - Time Speed and Distance

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The question below is from previous year CAT question from CAT 2018 exam comes from CAT Arithmetic – Time Speed and Distance – On a long stretch of east-west …. Find out by answering this question which tests an aspirant’s Quantitative Ability Skills:

## CAT 2018 – Slot 2 - Time Speed and Distance - Question 5 - On a long stretch of east-west

Q. 5: 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

Let ‘x’ and ‘y’ be the speed (in km/hr) of cars starting from both A and B respectively. If they both move in east direction, then B will overtake A only if y > x.

Also, relative speed of both the cars when they move in east direction = (y – x) km/hr

It is mentioned that they take 7 hours to meet. i.e. they travel 350 km in 7 hours with a relative speed of (y-x) km/hr.

Hence, (y – x) = 350/7 = 50 km/hr.

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