Question

A person leaves home at 8:00 a.m. and drives to a destination at a rate of 40 mph. The person returns at a rate of 25 mph and arrives at 2:30 p.m. How far was the destination?
65 miles
100 miles
130 miles

Answer 1

I also don't want a direct answer I want to know how it's done.

Answer 2

he drive for 6 and half hours

Answer 3

65 miles

Answer 4

how did you get that @yahya90

Answer 5

he drive totaly 65 miles in 6and 30 mintues

Answer 6

we not depend on acceleration

Answer 7

He travels for six and a half hours, which is 13/2 hours. Suppose he drives out for t hours. He then drives back for 13/2-t hours. The distance out and distance back are equal. That means\[40t=25(\frac{13}{2}-t) \implies 65t=\frac{325}{2} \implies t=\frac{5}{2} \implies d=40(\frac{5}{2})=100\]

Answer 8

It would seem he went a hundred miles out and a hundred miles back. If you check with the speeds given in the problem, that should take just about six and a half hours.

Answer 9

thank you @AnimalAin

Answer 10

No sweat. Do math every day.