SOLUTION: Two people start walking at the same time in the same direction. One person walks at 4 mph and the other person walks at 3 mph. In how many hours will they be 0.75 miles apart?

Question 1122686: Two people start walking at the same time in the same direction. One person walks at 4 mph and the other person walks at 3 mph. In how many hours will they be 0.75 miles apart?
I followed the D=RT formula and I got .75=4T+3T. Which after combining like terms I got 7T=.75 and the answer is said to be .75 but I got .107, so I'm confused. Unless I'm just really missing something that's so simple I can't see it.
Found 3 solutions by solver91311, josmiceli, ikleyn:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!

In one case, that is when they are walking in opposite directions, your answer is correct: 0.107 hours, or very roughly 6 and a half minutes. On the other hand, if they were walking in the same direction then:

So, 3/4 of an hour or 45 minutes

John

My calculator said it, I believe it, that settles it

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = distance covered by faster one
= slower one�s distance
��
Faster one�s equation:

Slower one�s equation:

��
By substitution:

In .75 hrs they are .75 mi apart
��-
Check:

. mi
and

mi
OK

Answer by ikleyn(52756)   (Show Source): You can put this solution on YOUR website!
.
For introductory lessons on Travel and Distance, specially written for beginners, see the lessons
    - Travel and Distance problems
    - Travel and Distance problems for two bodies moving in opposite directions
    - Travel and Distance problems for two bodies moving in the same direction (catching up)
in this site.

You will find the solutions of many similar problems there.

Read them and learn once for all from these lessons on how to solve simple Travel and Distance problems.

Become an expert in this area.

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