How many degrees does the minute hand covers in, the same time, in which the hour hand covers `20^(@)` ?

Options

A. `150^(@)`
B. `200^(@)`
C. `180^(@)`
D. `240^(@)`

Answer

D

Explanation

As we know that the hour hand moves through `1^(@)/2` in each minute i.e. `1^(@)/2=1` minutes.
So, `20^(@)=1/(1^(@)/2) times 20^(@)=40` minutes
So, the minute hand covers in 40 minutes
`" "=6^(@) times 40=240^(@)`.
[`because` We know that the minute hand moves through `6^(@)` in each minute]
Another way :
The hour hand covers `20^(@)" in "=1/(1^(@)/2) times 20^(@)=40` minutes.
Therefore, the minute hand covers in 40 minutes
`" "=40/60 times 360^(@)=240^(@)`
`[because` 60 minutes = 1 hour 40 minutes `=1/60 times 40]`