Question

Please HELP w/ this Word Problem!!
Bob drives from A to B at an average speed of 60 mi/h. On the way back, he slowed down to 50 mi/h. The trip was 4.4 hours. What is the distance from A to B?

***please tell me how you can check this problem, i.e. how can you plug in the solution to verify the answer?

Answer 1

lets call the distance from A to B say \(D\) because that is what you want
since \(T=\frac{D}{R}\) that is time is distance divided by rate, you know the time going was
\[\frac{D}{60}\] and the time returning was
\[\frac{D}{50}\] and the total time is therefore
\[\frac{D}{60}+\frac{D}{50}\] which you are told is 4.4 hours, so set
\[\frac{D}{60}+\frac{D}{40}=4.4\] and solve for \(D\)

Answer 2

ooops last line should be
\[\frac{D}{60}+\frac{D}{50}=4.4\] a typo on my part

Answer 3

how would you solve this? I added them to get 100D/3000... is that right?

Answer 4

nevermind i got it

Answer 5

How could you check this problem to verify the answer?