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Entertaining catching up arithmetic Travel & Distance problems
Problem 1
A wolf notices a hare 50 meters away and starts chasing the hare.
At the same moment, the hare sees the wolf and starts running away.
The wolf and the hare run in a same straight line.
The wolf runs at a speed of 4 meters per second. The hare runs at a speed of 3 meters per second.
How long will it take the wolf to catch up with the hare?
Solution
The initial distance between the wolf and the hare is 50 meters.
Every second, this distance decreases by 4-3 = 1 meter.
Hence, the wolf will catch up with the hare in 50/1 = 50 seconds. ANSWER
Problem 2
A patrol boat spots a poacher's boat and heads towards it; the poacher's boat tries to escape.
Both boats are moving in a straight line; the initial distance between them is 2 kilometers
The poacher's boat is moving at 20 kilometers per hour. The patrol boat is moving at 24 kilometers per hour.
How long will it take the patrol boat to catch up with the poacher's boat?
Solution
The initial distance is 2 kilometers, and it increases at the rate 24-20 = 4 kilometers per hour.
Hence, the patrol boat will catch up with the poacher's boat in 50/1 = 50 seconds. ANSWER
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