Question

Two stations P and Q are 42 km apart. A person starts from P, walks at 4 km/h towards Q and meets another person coming from Q towards P after 6 hours.
Find the rate at which the second person is walking, if both the persons start walking at the same time.​

Answer 1

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Answer 2

The rate at which the second person is walking towards P is 3 km/hr.

• Two stations P and Q are 42 km apart.
• A person starts from P at 4km/hr towards Q and Q starts with some rate towards P.
• Now they meet each other after 6 hours.
• Therefore the distance covered by both of them is equal to 42 km.
• Let the rate at which the other person walks towards P be x km/hr.

Now, 42 = 4×6 + x ×6   (Distance = speed×time)

As both the persons walk for 6 hours to meet other person.

42 = 24 + 6x

18 = 6x

x = 3 km/hr.

• The rate at which the other person walks towards P is 3 km/hr.