It took Nick five-thirds of an hour to complete his math homework on Monday, three-fourths of an hour on Tuesday, and five-sixths of an hour on Wednesday. How many hours did he take to complete his homework altogether?
Answers
Answer:
3 1/4
Step-by-step explanation:
5/3 = 20/12
3/4=9/12
5/6=10/12
39/12= 3 3/12 = 3 1/4
It took Nick three and one-fourth hours to complete his homework altogether.
Given: Time taken to complete the work on Monday = five-thirds of an hour
Time taken to complete the work on Tuesday = three-fourths of an hour
Time taken to complete the work on Wednesday = five-sixths of an hour
To Find: Hours taken to complete the homework
Solution:
An hour consists of 60 minutes
Time taken to complete the work on Monday = five-thirds of an hour
Time taken to complete the work on Monday (in mins) = x 60
= 5 x 20
= 100 mins
Time taken to complete the work on Tuesday = three-fourths of an hour
Time taken to complete the work on Tuesday (in mins) = x 60
= 3 x 15
= 45 mins
Time taken to complete the work on Wednesday = five-sixths of an hour
Time taken to complete the work on Wednesday (in mins) = x 60
= 5 x 10
= 50 mins
Total time taken to complete the homework = 100 + 45 + 50
Total time taken to complete the homework = 195 mins
Total time taken to complete the homework (in hours) = 195 / 60
= 3 hours 15 mins
Therefore, the total time taken to complete the homework is 3 hours 15 mins.