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This is a very simple problem taken from CAT 2018 Question Paper that tests your knowldge on Speed, Time and Distance and combines a tinge of basic Algebra! These type of questions occurs very often in the CAT Exam and it is needless to say that you have to master Speed, Time and Distance’s concepts along with other Arithmetic concepts to get through. Give this question a shot and then check out the video explanation for the same.

Question 17 : 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 [TITA]

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Explanatory Answer

Method of solving this CAT Question from Speed Time Distance

CAT 2018 Question Paper Quants Slot 2 Speed Time Distance

Given that 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.
They meet after one hour or their relative velocity is (a + b)km/hr and their relative distance is 350kms
a + b = \\frac{350}{1}) which is equal to 350 kms/hr

If they both move towards east, then they meet in 7 hrs.
We have to find the difference between their speeds, in km per hour. B is catching upon A, so once again their relative distance will be 350kms.
Relative speed = b – a , B travels faster so that it can meet a.
⟹ \\frac{350}{b − a}) = 7
⟹ b - a = 50 km/hr
We know that b + a = 350 km/hr
By this we can find the values of a and b but they have asked for only the difference between their speeds which is b – a = 50km/hr

The question is "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 [TITA]"