Question

A twelve-hour clock is set at the correct time on the afternoon of May 17th. Somebody knocked the clock off the wall and now it loses 6 minutes per day. How much time will the clock be behind 3 weeks later?

1 hour and 42 minutes
2 hours and 6 minutes
3 hours and 12 minutes
2 hours and 36 minutes

Answer 1

2 hours and 6 minutes. Second option

Explanation:

Proportions

If two variables are proportional, it's easy to find the value of one of them knowing the value of the other and the proportion ratio. We know that each day our clock loses 6 minutes per day. It gives us the ratio between time lost vs days passed.

Three weeks (21 days) from now, from now, the clock will be behind a total time of 6 * 21 = 126 minutes.

Two hours are 120 minutes, thus the time behind is 2 hours and 6 minutes. Second option