Lesson Entertaining catching up arithmetic Travel & Distance problems

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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


My other lessons on arithmetic word problems in this site are
    Arithmetic word problems to solve them MENTALLY
    Solving arithmetic word problems by reasoning
    Simple arithmetic word problems solved in a right way
    Arithmetic coin problems
    Simple arithmetic word problems on "rate of work"
    Simple and simplest arithmetic Travel & Distance problems
    Typical arithmetic Travel & Distance problems
    Other basic arithmetic Travel & Distance problems
    Advanced arithmetic word problems on Travel & Distance
    Finding travel time and average rate
    Flying back and forth

    OVERVIEW of the first group of lessons on arithmetic word problems

To see the whole list of lessons on arithmetic problems,  use this link  Arithmetic problems - YOUR ONLINE TEXTBOOK
It is your way to the entry page of the online textbook on Arithmetic problems.



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