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

Solution:

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

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

Then average speed$=\frac{Distance}{Time}= \frac{2x}{1.25}$

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

So Average Speed$=\frac{2+40}{2}= 21$ mi/hr

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

$\frac{2x}{1.25}=21\\ \\ 2x=1.25*21\\ \\ x=13.125$

Hence the distance from home is 13.125 miles.