Question

Ava decided to experiment with different forms of exercise. ​ ​She spent 7/5 hours weight lifting, 2/5 of an hour swimming, and 4/5 of an hour running. ​ ​How many hours did Ava spend exercising?

Answer 1

Total time spent for exercising is 2 hours and 36 minutes or
`2(3)/(5)\ hours`

Explanation:

Given:

Time spent in weight lifting is,
`T_1=(7)/(5)\ h`

Time spent in swimming is,
`T_2=(2)/(5)\ h`

Time spent in running is,
`T_3=(4)/(5)\ h`

Total time spent in all these exercises is equal to the sum of hours spent for each exercise. Therefore,

Total time spent = Time spent for weight lifting + Time spent for swimming + Time spent for running.

`T_(Total)=T_1+T_2+T_3\\\\T_(Total)=(7)/(5)+(2)/(5)+(4)/(5)\\\\\textrm{Denominator is same. So, we add all the numerators and divide with the same denominator}\\\\T_(Total)=(7+2+4)/(5)\\\\T_(Total)=(13)/(5)=2(3)/(5)\ h\\\\or\\\\T_(Total)=2\ h+((3)/(5)* 60)\ min\\T_(Total)= 2\ h\ 36\ min`

Therefore, total time spent for exercising is 2 hours and 36 minutes or
`2(3)/(5)\ hours`