Exactly how many minutes is it before eight o'clock if...

...40 minutes ago, it was three times as many minutes past four o'clock?

Puzzle Copyright © Kevin Stone

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Hint

How many minutes are between the times?

Answer

50 minutes.

Reasoning

Between four o'clock and eight o'clock, there are 240 minutes.

In these 240 minutes, there are 4 lots of the unknown time (t) plus 40 minutes.

Therefore, 240 = 4 x t + 40.

Therefore, t = 50 minutes.