HOur's ProbleM

Geometry Level pending

IF time on a circular wall clock moves from 12:24 hrs to 14:36 hrs, the hour hand moves by X degree. What is the value of X???

50 72 60 66

1 solution

Ahmed Arup Shihab
Feb 17, 2015

In $12$ hour or $12\times 60$ minutes the hour hand moves $360 ^{\circ}$ .

So in $1$ minute the hour hand moves $\frac{360}{12\times 60} = \frac{1}{2}^{\circ}$

From $12:00$ to $12:24$ hour hand moves $24\times \frac{1}{2}^{\circ}=12$

From $12:00$ to $14:36$ hour hand moves $(2\times 60+36) \times \frac{1}{2}^{\circ}= 78^{\circ}$

So, $X=78-12=\fbox{66}$

Thank you very much.

Sravanth C. - 6 years, 3 months ago