Question

Sakharam has been playing in the field since 3 in the morning. At $ 12:30 $ in the afternoon he stopped and started for home. He reached home at $ 09:30 $ . How long was he playing in the field? How long did it take him to reach home from the field?

Answer 1

Hint: A clock is divided into twelve parts of one hour each. The clock starts again from $ 01:00 $ after $ 12:00 $ . One hour is equal to 60 minutes. You can solve this question by counting how many hours will be there between the two given time periods.

Complete step-by-step answer:
We know that, we have 24 hours in a day. We have to calculate the time Sakharam played in the field and the time he took to reach home from the information that is given in the question in terms of the time in clock.
We know that a clock is divided into twelve parts in 1 hour each. So one rotation of the clock is twelve hours.
Sakharam started to play in the field at 3 in the morning. So from 3 in the morning to 12 in the afternoon, he played for $ 12 - 3 = 9 $ hours.
But he played till $ 12:30 $ in the afternoon. So we will add 30 more minutes into it.
So, Sakharam played for 9 hours and 30 minutes.
We know that one hour is sixty minutes. Therefore, thirty minute is equal to half an hour.
Thus, we can say that Sakharam played for $ 9.5hours $ .
At $ 12:30 $ he left for home and reached home at $ 09:30 $ .
Now, the clock restarts from $ 01:00 $ after $ 12:00 $ .
So, if we count from $ 01:00 $ to $ 09:00 $ then the time he took to reach home will be $ 9 - 1 = 8hours $ .
But he didn’t reach home at $ 09:00 $ . He reached home at $ 09:30 $ . So he took 30 more minutes. Also, he didn’t leave at $ 01:00 $ . He left at $ 12:30 $ which is 30 minutes before. Therefore, he took 60 minutes more. And since, 60 minutes is equal to 1 hour. He took one hour more to reach home. So the total time taken by Sakharam to reach home is $ 8 + 1 = 9hours $ .
From the above explanation, we can conclude that Sakharam played for $ 9.5hours $ and he took $ 9hours $ to reach back home.

Note: This is a question of reasoning than calculation. You need to understand the clock to solve this question. Since, the clock goes from $ 12:00 $ to $ 12:00 $ . We take $ 12:00 $ as zero when we need to calculate the number of hours. This helps in converting time into hours. This was a simple question as Sakharam was home on the same day. It would have been tricky, if he would have reached home at $ 09:30 $ in the morning.