SOLUTION: Russ and Janet are running. Russ runs at 7mph, Janet at 5mph. If the run has a staggered start, and Janet starts first with Russ starting 10 minutes later, how long before he catch

Question 212069: Russ and Janet are running. Russ runs at 7mph, Janet at 5mph. If the run has a staggered start, and Janet starts first with Russ starting 10 minutes later, how long before he catches up with her?
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
Russ and Janet are running. Russ runs at 7mph, Janet at 5mph. If the run has a staggered start, and Janet starts first with Russ starting 10 minutes later, how long before he catches up with her?

Step 1. Find distance Janet travels just before Russ starts running.

(5 miles/hour) * (1 hour/60 minutes) * (10 minutes) = miles

Step 2. You need to realize that Russ and Janet must travel the same distance when Russ catches up.

distance = velocity * time

Step 3. Russ traveled where x is the time (in hours) he traveled

Step 4. Janet traveled where same x is the time she traveled
Step 5. Set equations equal: Step 3 = Step 4

Step 6. Subtract 5x from both sides of equation in previous step.

Step 7. Divide by 2 to solve for x

Step 8. Answer is
hour or minutes where 60 minutes = 1 hour

For Step-By-Step Videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra.

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