SOLUTION: in a bike race, Steve gives Jim a 500m head start. Also, steve agrees to start 15 min after jim. If steve travels at 17 km/hr and Jin at 14km/hr how long will it take steve after h

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Question 484718: in a bike race, Steve gives Jim a 500m head start. Also, steve agrees to start 15 min after jim. If steve travels at 17 km/hr and Jin at 14km/hr how long will it take steve after he starts to overtake Jim?
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Steve gives Jim a 500m head start.
Also, steve agrees to start 15 min after jim.
If Steve travels at 17 km/hr, and Jin at 14km/hr, how long will it take Steve after he starts to overtake Jim?
:
We are dealing with km/hr, therefore:
Change 15 min to .25 hrs
Change 500 m to .5 km
:
Let t = travel time for Steve to catch up with Jim
then
(t+.25) = travel time of Jim, when he is caught
:
Write a distance equation; dist = speed * time
:
S's dist = J's dist + .5 km
17t = 14(t+.25) + .5
17t = 14t + 3.5 + .5
17t - 14t = .5 + 3.5
3t = 4
t =
t = 1 hr or 1 hr 20 min for Steve to catch Jim

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