SOLUTION: solve. henry runs at a speed of 10mph and doug at a speed of 8mph henry gives doug a half mile head start. how long will it take henry to catch doug? show all work please

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Question 382304: solve.
henry runs at a speed of 10mph and doug at a speed of 8mph henry gives doug a half mile head start. how long will it take henry to catch doug?
show all work please
Found 3 solutions by ankor@dixie-net.com, limy, Alan3354:
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website!
henry runs at a speed of 10mph and doug at a speed of 8mph
henry gives doug a half mile head start. how long will it take henry to catch doug?
:
You can do this in your head, their relative speed: 10 - 8 = 2mph
:
How long will it take to cover .5 mile at 2mph
:
Time = Dist/speed: = .25 hrs or 15 min
:
:
We d catches h, they will have traveled the same dist:
8(.25) + .5 = 2.5 mi
10(.25) + 2.5 mi

Answer by limy(1)   (Show Source):
You can put this solution on YOUR website!
Important equation:
D = S X T
where: D is the distance to be traveled, S is the speed or rate of travel, T is the travel time.
Since both runners covered the same distance,then
D of Henry = D of Doug
Plug in known facts to the equation above, we get
10T = 8T + 0.5
and the answer,
T = 0.25 hr = 15 min (time needed by Henry to catfch Doug.

Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website!
henry runs at a speed of 10mph and doug at a speed of 8mph henry gives doug a half mile head start. how long will it take henry to catch doug?
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Henry gains on Doug at 2 mph (10 - 8).
(1/2)/2 = 1/4 hour