Question

The distance between 2 towns is 300 km.two car start simultaneously from these towns and move towards each other.the speed of one car is more than the

other by 7 km/h.if the distance between the cars after 2 hours is 34 km.find the speed of cars

Answer 1

See the figure:

let the speed of the car starting from town A = x km/h

and the speed of the car starting from town B = x + 7 km/h

Distance covered by the car starting from town
A after 2h = speed × time

34 => x × 2
34 => 2x --------> (1)

Distance covered by the car starting from town
A after 2h = speed × time

34 => (x + 7) × 2
34 => 2x + 14 ---------> (2)

According to the question, the total distance = 300km

therefore,Adding equation (1) and (2) we get
2x + 2x + 14 + 34 = 300
=> 4x + 48 = 300
=> 4x = 300 - 48
=> 4x = 252
=> x = 252/4
=> x = 63

therefore,
speed of car starting from town A = x km/h = 63 km/h

speed of car starting from town A = x + 7 km/h = 63 + 7 km/h
= 70 km/h

Answer 2

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