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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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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]"**

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