SOLUTION: in a bicycle race, pete gives joey a 500 meter advantage. Also, Pete agrees to start 15 minutes after joey. If Pete bikes at 17 kilometers per hour and joey at 14 km/h, how long wi

Question 513274: in a bicycle race, pete gives joey a 500 meter advantage. Also, Pete agrees to start 15 minutes after joey. If Pete bikes at 17 kilometers per hour and joey at 14 km/h, how long will it take pete after he starts biking to overtake joey?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Joey gets 2 head starts: one is distance and the other is time
In min, Joey bikes km
His head start is km
Start a stopwatch when Pete leaves
Pete's equation:
(1)
Joey's equation:
(2)
Note that they both travel for the same
amount of time on the stopwatch
Substitute (1) into (2)
(2)
(2)
(2) hr
This is 1 hour plus 1/3 of an hour
Pete overtakes Joey in 1 hr and 20 min
check:
(1)
(1) km
and
(2)
(2)
(2) km
Joey's time is hr
Joey's distance traveled is km

km/hr
close enough
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