How many minutes is it until 5:00 if forty minutes ago it was four times as many minutes past 2 o'clock?

Expert Answers

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Let the minutes till 5 be x

==> the time is 5:00 - x minutes

==> the time forty minutes ago was: (5:00- x) - 40 ..........(1)

Given the the time forty minutes ago was 4 times as many minutes past 2 ocklock

==> 2 : 00 + 4x ............(2)

The time (1) = time (2):

==> (5:00 - x ) - 40 = 2:00 + 4x

==> 5:00 - 40 - 2:00 = 4x + x

==> 3:00 - 40 = 5x

==> 2:20 = 5x

==> 2 h = 120 min

==> 140 = 5x

==> x = 140/5 = 28m

Then the time is 28 min till 5:00

-==> 5:00 - 28 m = 4: 32

The time now is 4: 32

 

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