SOLUTION: A boy leaves a town at noon on a bicycle traveling west at rate of 15 mph at 4pm. A girl leaves town in a car in the same direction at the rate of 45 mph.How many hours will it tak

Question 628313: A boy leaves a town at noon on a bicycle traveling west at rate of 15 mph at 4pm. A girl leaves town in a car in the same direction at the rate of 45 mph.How many hours will it take to watch a boy and What time?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A boy leaves a town at noon on a bicycle traveling west at rate of 15 mph.
At 4pm a girl leaves town in a car in the same direction at the rate of
45 mph.
How many hours will it take to catch the boy and What time?
:
Let t = travel time of the girl in the car
then
(t+4) = travel time of the boy on the bike (left 4 hrs earlier)
:
When the girl catches the boy, they will have traveled the same distance
Write a distance equation; dist = speed * time
:
45t = 15(t+4)
45t = 15t + 60
45t - 15t = 60
30t = 60
t = 60/30
t = 2 hrs travel time of the girl in the car to catch the boy on the bike
She left at 4 PM, therefore time of catch = 6 PM
:
:
Confirm our solution by finding the distance of each, should be equal
45(2) = 90 mi
15(2+4) = 90 mi
RELATED QUESTIONS
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 car leaves town traveling west at 45km/h. Three hours later another car leaves the same (answered by richwmiller)

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 14mph at 8 a.m. A car leaves at 11 a.m., in the same direction... (answered by richwmiller)

A car leaves a town traveling at 72 km/h. An hour later, a second car leaves the same... (answered by josmiceli)

A car leaves town at noon traveling 40 mph. Two hours later, a second car leaves the same (answered by scott8148,Alan3354)

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

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

A car leaves town at 72 km/hr. An hour later, a second car leaves the same town, on the... (answered by ewatrrr)