SOLUTION: A bike leaves @ 8:00 am traveling at 10 mph. A car leaves, heading in the same direction @ 11:00 am traveling at 50 mph. How many minutes after 11:00 will the car overpass the bi

Question 46783: A bike leaves @ 8:00 am traveling at 10 mph. A car leaves, heading in the same direction @ 11:00 am traveling at 50 mph. How many minutes after 11:00 will the car overpass the bike. The computer program gives the answer of 45 minutes, but I can't figure out how? Thanks!
Found 2 solutions by Nate, saltzy57:
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
'y' expresses distance traveled
y = 10mph + 30 the biker has already traveled 30 miles when the car leaves
y = 50mph
Combine:
10x + 30 = 50x
30 = 40x
3/4 = x
Sixty minutes in an hour. (60)(3/4) = 45 minutes
Answer by saltzy57(8) (Show Source): You can put this solution on YOUR website!
ok after 3 hrs, the bike will have travelled 30 miles and now the car starts at 50 mph...we can write this equation as:
30 + 10x = 50x solving for x
x= 3/4 of an hour or 45 mins
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 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 10 mph at 8 am. A car leaves town going the same direction at... (answered by checkley77)
At 10:00 AM., a car leaves a house at a rate of 60 mph. At the same time, another car... (answered by rfer)
At 8:00 am a train leaves a station and travels at a rate of 43mph. At 9:00 am a second... (answered by solver91311)
At 9:00 am a truck leaves the yard traveling west at a rate of 40 mph. At 11:00 am a... (answered by stanbon,TimothyLamb)
A train leaves Boston at 2:00 PM.A second train leaves the same city traveling in Tue... (answered by richwmiller)
At 7:00 am a loaded freight train leaves Pittsburgh at 25 mph. At 11:00 am, an amtrak... (answered by lwsshak3)
[ A train leaves San Diego at 3:00 pm. A second train leaves the same city traveling in... (answered by TimothyLamb,mathgranny)