Answer :

Let the speed of car at place A is x km/h and that of car at place B is y km/h


If they travel in same direction, they will meet after 7 hours, i.e. the difference of distance covered by them in 7 hours will be equal to distance b/w A and B.


As, distance = speed × time, and distance from A to B is 70 km


7x - 7y = 70


x - y = 10


x = y + 10 eq.[1]


If they, travel in opposite direction, they will meet after 1 hour i.e. sum of distance travelled by both cars will be equal to the distance b/w A and B.


x + y = 70


Using eq.[1], we have


y + 10 + y = 70


2y = 60


y = 30


Using this in eq.[1], we have


x = 30 + 10 = 40


Hence,


Speed of car at A = x = 40 km/h


Speed of car at B = y = 30 km/h


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