Question

Places A and B are 100 km apart on a highway. One car starts from A and another from B at the
same time. If the cars travel in the same direction at different speeds, they meet in 5 hours. If
they travel towards each other, they meet in 1 hour. What are the speeds of the two cars? Solve
by substitution method.
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Answer 1

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✨Let the speeds of the cars be x km/hr and y km/hr

✨Case 1: When the cars are going in the same direction Relative speed = x - y Distance = 100 km

Time = 100

(x - y) = 5 hrs

x - y = 100

5(x – y )= 100

x-y=20 ------------- (1)

✨Case 2: When the cars are going in the opposite direction

Relative speed = x + y Time =100

(x + y) = 1 hrs

x + y = 100 ------------- (2)

Solving the equations (1) and (2), x = 60 y = 40 Hence the speeds of the cars are 60 km/hr and 40 km/hr.

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