SOLUTION: In a bicycle race, Lionel gives Robert a 500 km advantage. Also, Lionel agrees to start 15 minutes after Robert. If Lionel bikes at 17 km/h and Robert at 14 km/h, how long will it
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-> SOLUTION: In a bicycle race, Lionel gives Robert a 500 km advantage. Also, Lionel agrees to start 15 minutes after Robert. If Lionel bikes at 17 km/h and Robert at 14 km/h, how long will it
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Question 498568: In a bicycle race, Lionel gives Robert a 500 km advantage. Also, Lionel agrees to start 15 minutes after Robert. If Lionel bikes at 17 km/h and Robert at 14 km/h, how long will it take Lionel after he starts biking to overtake Robert? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! a bicycle race, Lionel gives Robert a 500 km advantage.
Also, Lionel agrees to start 15 minutes after Robert.
If Lionel bikes at 17 km/h and Robert at 14 km/h, how long will it take Lionel
after he starts biking to overtake Robert?
:
I am going to go out on a limb here and say that you meant a 500 meter head-start.
:
Change 15 min to .25 hr
Change 500 meter so .5 km
:
Let t = L's travel time to catch R
then
(t+.25) = R's travel time when he is caught
:
L has to travel .5 km further than R
:
Write a distance equation, dist = speed * time
:
17t = 14(t+.25) + .5
17t = 14t + 3.5 + .5
17t - 14t = 3.5 + .5
3t = 4
t = hr
t = 1 hr 20 min for L to catch R
:
:
Confirm this by finding the actual distance each traveled
17(1.33) = 22.6 km
:
14(1.33+.25)
14(1.58) = 22.1 km, .5 km less than Lionel
