Q2.
Raghav studies Mathematics, English, Hindi, and The World Around Us subjects. He took 50 minutes to study each of the subjects. Find the total time taken in hours and minutes. Share your strategies with your class.
Answer
Raghav studied for 3 hours 20 minutes in all.
What we must find: the total time for four subjects, when each subject took 50 minutes.
- Count the subjects. Mathematics, English, Hindi, The World Around Us — that is 4 subjects.
- Find the total in minutes. Four lots of 50 minutes: 50 × 4 = 200 minutes.
- Change 200 minutes into hours. Count 60s: 60, 120, 180. The next one, 240, is too big. So there are 3 whole hours.
- Find the leftover: 200 − 180 = 20 minutes.
- Write the answer with both units: 3 hours 20 minutes.
Time for one subject = 50 minutes
Number of subjects = 4
Total = 50 × 4 = 200 minutes
200 = 180 + 20 = (3 × 60) + 20
Total time = 3 hours 20 minutes
Number of subjects = 4
Total = 50 × 4 = 200 minutes
200 = 180 + 20 = (3 × 60) + 20
Total time = 3 hours 20 minutes
Sample answer for ‘share your strategies’: I did not multiply at first. I added in pairs, because 50 + 50 is easy. 50 + 50 = 100 minutes for two subjects. Another 50 + 50 = 100 minutes for the other two. 100 + 100 = 200 minutes altogether. Then I took out hours 60 at a time until only 20 minutes were left.
Another neat strategy: 50 minutes is 10 minutes short of an hour. Four subjects would be 4 hours if each took a full hour. But each is short by 10 minutes, so altogether we are short by 4 × 10 = 40 minutes. 4 hours − 40 minutes = 3 hours 20 minutes. Same answer, and no big multiplication at all.
Check it yourself: 3 hours 20 minutes = 180 + 20 = 200 minutes, and 200 ÷ 50 = 4 subjects ✓