Clock Problem 1

Algebra Level 2

What is the time after 1 : 00 1:00 o’clock will the hands of the clock forms a straight line for the first time?

1:37:11 1:39:11 1:36:11 1:38:11

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1 solution

Marvin Kalngan
May 25, 2020

If the minute hand moves a distance of x minutes, the hour hand moves a distance of x/12 minutes. From the figure above,

x = 5 + x 12 + 30 x = 5 + \dfrac{x}{12} + 30

x = 38.18 minutes or 38:11 \text{x = 38.18 minutes or 38:11}

time = 1:38:11 \boxed{\text{time = 1:38:11}} answer \boxed{\text{answer}}

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