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

Question

3 months ago

7

the entire trip takes 3.5 hours how far is his house from the theater

1 answer:

zzz [12.3K] · Answer 1 · 2026-03-01T02:37:25+03:00

Solution:

Let x be the distance in miles from the house to the theater.

Total time taken for the trip $=3.5-2.25=1.25 Hr$

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

Terrence walks at a speed of 2 miles per hour to the theater and returns home at 40 miles per hour.

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

Both average speeds must be equivalent. Hence, we can express this as:

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

Consequently, the distance from home is 13.125 miles.