Question

An analogue clock is gain three minutes every hour. If you set it to the correct time at 6pm on Saturday, when will it show the correct time again. Hint.... For the analogue clock to show the correct time again, it must gain exactly 12 hours ( remember there is no difference between am and pm on an analogue clock)Then I need to repeat question one for a 24 hour digital clock

Answer 1

Given:

Analogue clock gaining 3 min. every hours

correct time at 6pm on saturday

So in 20 hours clock will gain:

`\begin{gathered} =3*20 \\ =60\text{ min.} \end{gathered}`

In 20 hours clock gain 1 hour.

When the clock gain 12 hours , it will show correct time again.

So,

`\begin{gathered} =20*12 \\ =240\text{ hours.} \end{gathered}`

After 240 hours clock show right time i.e. after 10 days the clock will gain 12 hours and give right time.

If the clock is set to the correct time at 6 pm on saturday, than after 10 days i.e. 6pm on Tuesday it will show correct time

(b)

Same problem with 24 hours in digital clock.

When the clock gain 24 hours then its show right time.

so,

`\begin{gathered} =20*24 \\ =480 \end{gathered}`

After 480 hours clock show right time i.e. 20 days clock will gain 24 hours and give right time.

If the clock set saturday at 6 pm then after 20 days 6 pm of Friday