Question

A clock is set right at 10am .the clock gain 10 minutes in 24 hours. what will be the true time when the clock indicates 3 pm the following days ?

Answer 1

answer of this question is 2.25min

Answer 2

Answer:

The original Time is 2:47:55

Step-by-step explanation:

Given that the clock gains 10 minutes in 24 hours

⇒ 10 minutes in (24 × 60) minutes

⇒ 10 minutes in 1440 minutes

⇒ 1 minute in 144 minutes

$\implies\text{60 seconds in }\frac{144}{60}\text{ hours}\\\\\implies \frac{60\times 60}{144}\text{ seconds in 1 hour}$

⇒ 25 seconds in 1 hour

Now, 10 A.M. the following day covers 24 hours. So, it gains 10 minutes

⇒ When the clock is set at 10 A.M. the original time is 10 A.M. - 10 minutes

∴ The original time is 9:50 A.M.

Then up to 3 P.M. the hours needed to be covered is 5 hours

So, According to original time 5 hours after 9:50 A.M. is 2:50 P.M.

Now, the clock gains 5 × 25 = 125 seconds

Thus the original time is 125 seconds before 2:50 P.M.

Hence, The original Time is 2:47:55