Places A and B are 80 km apart form each other on a highway. A car starts from A and other from B at the same time. If they move in the same direction, they meet in 8 hours and if they move in opposite directions, they meet in 1 hour and 20 minutes. Find the speeds of the cars.

Let the speed of car from A be ‘a’ and of car from B be ‘b’


Speed = distance/time


Relative speed of cars when moving in same direction = a + b


Relative speed of cars when moving in opposite direction = a – b


Given, places A and B are 80 km apart form each other on a highway. A car starts from A and other from B at the same time. If they move in the same direction, they meet in 8 hours and if they move in opposite directions, they meet in 1 hour and 20 minutes


a – b = 80/8 = 10 ------ (1)



Adding (1) and (2)


2a = 70


a = 35 km/hr


Thus, b = 35 – 10 = 25 km/hr


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