Clock Problem 1

Algebra Level 2

What is the time after $1:00$ 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

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,

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

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

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