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
Algebra.Com
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
RELATED QUESTIONS
In a bicycle race, Lionel gives Robert a 500 m advantage. Also, Lionel agrees to start 15 (answered by jorel1380)
in a bicycle race, lionel gives robert a 500m advantage. also, lionel agrees to start 15... (answered by scott8148)
Hi, I was just wondering if I set up my problem right. In a bicycle race, Lionel gives... (answered by rothauserc)
the question reads: In a bicycle race, Lionel gives Robert a 500 meter advantage. Lionel... (answered by ankor@dixie-net.com)
I have been working on this problem for awhile now and I just can't figure it out. I was... (answered by checkley77,nerdybill)
In a bicylce race, Lionel gives Robert a 500 m advantafe. Also, Lionel agrees to start 15 (answered by ankor@dixie-net.com)
In a bicycle race, Lionel gives Robert a 500m advantage. Also, Lionel agrees to start... (answered by ankor@dixie-net.com)
In a bicycle race,lionel gives robert a 500meter advantage. Also, Lionel starts 15minutes (answered by jorel1380)
In a bicycle race, Lional gives Robert a 500m advantage. Also, Lional agrees to start 15 (answered by Mr. Kong)