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
Started 3 months ago by Shashank in
Explanatory Answer
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 = 350 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.
⟹ 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
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