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Question
The distance between two stations is 300 km. Two cars start simultaneously from these stations and move towards each other . The speed of one of them is 7 km/h more than that of the other. If the distance between them after 2 hours of their start is 34 km. Find the speed of each car.
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Solution
for faster car:-
rate = x + 7 km/h ; time = 2 hrs ; distance = 2(x+7) km
for slower car:-
rate = x km/h ; time = 2 hrs ; distance = 2x km
Equation:
2(x+7) + 2x + 34 = 300
2x+14 + 2x = 66
4x = 52
x = 13 km/h speed of the slower car.
x + 7 = 20 km/h speed of the faster car.
rate = x + 7 km/h ; time = 2 hrs ; distance = 2(x+7) km
for slower car:-
rate = x km/h ; time = 2 hrs ; distance = 2x km
Equation:
2(x+7) + 2x + 34 = 300
2x+14 + 2x = 66
4x = 52
x = 13 km/h speed of the slower car.
x + 7 = 20 km/h speed of the faster car.
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