Question

On planet FACE, there are 10 days
in a week. There are 36 hours in a
day and each hour has 90 minutes while each minute has 60 seconds. As on Earth, the hour hand covers the dial twice every day. Find the approximate angle between the hands of the clock on FACE when the time is 14:40 a.m.?
a. 83 b. 74 c. 129 d. 65​

Answer 1

Answer:

Given

36 hours in a

day

So the clock will be of 18 hours

For full 18 hours the clock hand covers 360 deg

Therefore for 1hour the clock hand covers 360/18 =20deg

So for 14 hours it covers 14x20 =280deg

each hour has 90 minutes

So for 90min hour hand covers 20deg

So for 1min hour hand covers 20/90=2/9deg

Thus for 40 min hour hand covers 40x(2/9) =8.88 aprox 9

So the hour hand covers a total of280+9=289deg

Now for minute hand

For 90min minute hand covers 360deg

So for 1min it covers 360/90=4deg

Thus for 40min it covers 40x4=160deg

The approximate angle between the hands of the clock on FACE when the time is 14:40 a.m is

289 - 160 = 129 deg

Option c. 129 is the answer