Hickory Dickory Clocks

Algebra Level 3

At 12 o' Clock, I reset two of my analog clocks to the correct time. One of the clocks gains 1 minute per hour. The other clock loses 2 minutes per hour. After exactly how many minutes will the two clocks next show the same time as each other?


The answer is 14400.

Satyen Nabar by Satyen Nabar , 48, India

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1 solution

Satyen Nabar
Apr 9, 2014

After 240 hours both the clocks will show 4:00. 240 minutes fast will be 4:00 and 480 minutes slow will be 4:00. 240 hours = 14400 minutes

1 Helpful 0 Interesting 0 Brilliant 0 Confused

It helps to explain your calculations: Every one hour, the difference between the two clocks increases by 3 minutes, so we need to see how many hours, later converted into minutes, will pass until it accumulates into a difference of 12 hours. We see this happens after 12 ∗ 60 3 = 240 \frac{12*60}{3}=240 minutes, and from thereon we proceed with your solution.

Jared Low - 6 years, 5 months ago

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