SOLUTION: Denny and John leave a station at different times, with both travelling in the same direction. Denny walks 60m per minute, and John cycles 210 m per minute. 1. If Denny has alre

Question 336078: Denny and John leave a station at different times, with both travelling in the same direction. Denny walks 60m per minute, and John cycles 210 m per minute.
1. If Denny has already walked 1800 m, how many minutes will it take for John to catch up with Denny by bike?
2. If John starts by bike 14 minutes after Denny departed, how many minutes will it take John to catch up with Denny?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Denny and John leave a station at different times, with both traveling in the same direction.
Denny walks 60m per minute, and John cycles 210 m per minute.
;
1. If Denny has already walked 1800 m, how many minutes will it take for John to catch up with Denny by bike?
:
Let t = time for J to catch D
:
Write a distance equation: Dist = speed * time
:
D's dist + 1800 m = J's dist
60t + 1800 = 210t
1800 = 210t - 60t
1800 = 150t
t =
t = 12 minutes For J to catch D
:
2. If John starts by bike 14 minutes after Denny departed, how many minutes
will it take John to catch up with Denny?
:
Find out how far D has traveled in 14 min and do it the same way
14 * 60 = 840 meters
:
D's dist + 840m = J's dist
60t + 840 = 210t
840 = 210t - 60t
840 = 150t
t =
t = 5.6 minutes For J to catch D
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