SOLUTION: Jose can drive three times as fast as Manuel can ride his bicycle. If it takes Manuel 2 hours longer than Jose to travel 36 miles, how fast can Manuel ride his bicycle.
Algebra ->
Customizable Word Problem Solvers
-> Travel
-> SOLUTION: Jose can drive three times as fast as Manuel can ride his bicycle. If it takes Manuel 2 hours longer than Jose to travel 36 miles, how fast can Manuel ride his bicycle.
Log On
Question 766526: Jose can drive three times as fast as Manuel can ride his bicycle. If it takes Manuel 2 hours longer than Jose to travel 36 miles, how fast can Manuel ride his bicycle. Found 2 solutions by Theo, MathTherapy:Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! tricky little devil.
here's what i think.
manuel's rate of travel is x.
jose's rate of travel is 3 times that, so jose's rate of travel is 3x.
rate * time = distance
distance = 36
manuel's time is y + 2
jose's time is y
for manuel:
rate * time = distance becomes:
x * (y + 2) = 36
for jose:
rate * time = distance becomes:
3x * y = 36
you have 2 equations that need to be solved simultaneously.
simplify both equations to get:
xy + 2x = 36
3xy = 36
solve for xy in both equations.
you get:
xy = 36 - 2x
xy = 12
since both equations are equal to xy, you can set them equal to each other to get:
36 - 2x = 12
subtract 36 from both equations to get:
-2x = -24
divide both equations by -2 to get:
x = 12.
manuel rides his bike at 12 miles per hour.
jose drive his car at 36 miles per hour.
it takes manuel 3 hours to go 36 miles.
it takes jose 1 hour to go 36 miles.
it takes manuel 2 hours more than jose to go 36 miles.
You can put this solution on YOUR website!
Jose can drive three times as fast as Manuel can ride his bicycle. If it takes Manuel 2 hours longer than Jose to travel 36 miles, how fast can Manuel ride his bicycle.
