SOLUTION: A bicycle leaves town at 14mph at 8 a.m. A car leaves at 11 a.m., in the same direction at 45 mph. How many minutes after 11 a.m. is it when the car overtakes the bicycle?

Question 458087: A bicycle leaves town at 14mph at 8 a.m. A car leaves at 11 a.m., in the same direction at 45 mph. How many minutes after 11 a.m. is it when the car overtakes the bicycle?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
from 8 am till 11 am is three hours
the bike had a three hour head start at 14 mph 3*14=42 miles
as the bike is going 14 mph and the car at 45 from that point we need to calculate the gain on the bike.
The car is gaining 45-14 =31 mph.
So how long in minutes will it take the car to make up 42 at 31 mph
42/31*60 about 81 minutes after 11am or about 12:21 pm

RELATED QUESTIONS
A bicycle leaves town at 16 mph at 8 AM. A car leaves at 11 AM traveling the same... (answered by JBarnum,stanbon)

A bicycle leaves town at 16 mph at 8 am. A car leaves at 11 am, traveling in the same... (answered by ankor@dixie-net.com)

A bicycle leaves town at 10 mph at 8 am. A car leaves town going the same direction at... (answered by checkley77)

A bicycle leaves town at 10mph at 8am and a car leaves at 11am, traveling in the same... (answered by checkley77)

A bike leaves @ 8:00 am traveling at 10 mph. A car leaves, heading in the same direction (answered by Nate,saltzy57)

A boy leaves a town at noon on a bicycle traveling west at rate of 15 mph at 4pm. A girl... (answered by ankor@dixie-net.com)

a car leaves town at 30 mph, tow hours later another car leaves same place, going the... (answered by solver91311,josmiceli)

A car leaves town traveling west at 45km/h. Three hours later another car leaves the same (answered by richwmiller)

car A and car B travel from town to a vacation cabin. car A travels at 45 mph. car B... (answered by mananth)