Question

Tanya drove 3 1/2 hours and used 1/3 tank of gas.

For how long could Tanya drive using​ 1/2 ​tank of gas?

Enter your answer as a mixed number in simplest form in the box.

Answer 1

Hey this was my attempt to help explain the answer

Answer 2

Answer:
`5(1)/(4)\ hours`

Explanation:

Given: Tanya drove car in
`(1)/(3)` tank of gas=
`3(1)/(2)` hours
`=(7)/(2)` hours

Tanya drove car in a full tank of gas =
`((7)/(2))/((1)/(3))=(7)/(2)*3=(21)/(2)` hours

Tanya drove car in
`(1)/(2)` tank of gas=
`(21)/(2)*(1)/(2)=(21)/(4)=5(1)/(4)\ hours`

Hence, Tanya drove
`5(1)/(4)\ hours`car in
`(1)/(2)` tank of gas.