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JAMB Mathematics 2017 Paper

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Question : 21

Total: 44

A man covered a distance of 50 miles on his first trip, on a later trip he traveled 300 miles while going 3 times as fast. His new time compared with the old distance was?

three times as much
the same
twice as much
half as much

Solution:

Let the speed of the 1st trip be x miles/hr

and the speed of the 2nd trip be 3x miles/hr

Speed = distance/time

∴ Time taken to cover a distance of 50 miles on the 1st trip

=

\frac{50}{xhr}

time taken to cover a distance of 300 miles on the next trip

=

\frac{300}{3xhr}

=

\frac{100}{xhr}

∴the new time compared with the old time is twice as much

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