Question

A church clock gains half a minute during the daylight hours and loses one third of a minute during the night. At dawn,may first , it has been set right. When will it be five minutes fast?

Answer 1

Given
Gain half minute( 30 sec) during day light.
Losses 1/3 of a minute in nighi= 60×1/3=20 sec loss

So in a day it gain 30 sec day light and loss 20 sec in night...

Set right on may first dawn...after 1 day that is may 2nd dawn clock will be (30-20)=10 sec fast

5min=5×60=300sec

So for clock become 5minute(300 sec) faster it need 300/10=30 days
So on 31st dawn the clock will be 5minutes faster