Question

Terrence walks at a pace of 2 mi/h to the theater and watches a movie for 2 hours and 15 min he rides a bus back home at 40 mi/h the entire trip takes 3.5 hours how far is his house from the theater

Answer 1

Let the distance of house from the theater be x miles.

Total travelling time
`=3.5-2.25=1.25 Hr`

Then average speed
`=(Distance)/(Time)= (2x)/(1.25)\\`

Terrence walks at a pace of 2 mi/h to the theater and back home at 40 mi/h.

So Average Speed
`=(2+40)/(2)= 21\\` mi/hr

Both the average speed should be equal. So we can write

`(2x)/(1.25)=21\\ \\ 2x=1.25*21\\ \\ x=13.125\\`

Hence the distance from home is 13.125 miles.