SOLUTION: Robert goes for a walk at a speed of 3 miles per hour. Two hours later Roger attempts to overtake him by jogging at the rate of 7 miles per hour. How long will it take him to reach

Question 504055: Robert goes for a walk at a speed of 3 miles per hour. Two hours later Roger attempts to overtake him by jogging at the rate of 7 miles per hour. How long will it take him to reach Robert?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Robert goes for a walk at a speed of 3 miles per hour.
Two hours later Roger attempts to overtake him by jogging at the rate of 7 miles per hour.
How long will it take him to reach Robert?
:
Let t = jogging time of Roger when overtakes Robert
then
(t+2) = walking time of Robert when he is overtaken
:
When this happens, they will both have traveled the same distance.
Write distance equation: dist = speed * time
;
Rog dist = Rob dist
7t = 3(t+2)
7t = 3t + 6
7t - 3t = 6
4t = 6
t = 6/4
t = 1.5 hrs of for Rog to overtake Rob
:
:
Check by finding the distances, they should be equal
7*1.5 = 10.5 mi
3(3.5) = 10.5 mi
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