SOLUTION: george can ride his bike to work in 3/4 hour. if he takes his car to work, the trip takes 1/6 hour. if he drives his car an average of 14 miles per hour faster than he rides his bi

Question 941248: george can ride his bike to work in 3/4 hour. if he takes his car to work, the trip takes 1/6 hour. if he drives his car an average of 14 miles per hour faster than he rides his bike, determine the distance he travels to work.
Found 2 solutions by lwsshak3, josmiceli:
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
george can ride his bike to work in 3/4 hour. if he takes his car to work, the trip takes 1/6 hour. if he drives his car an average of 14 miles per hour faster than he rides his bike, determine the .
***
let x=speed of bike
x+14 speed of car
distance=travel time*speed (same for bike and car)
..
(3/4)x=(x/6)(x+14)
lcd:12
9x=2(x+14)
9x=2x+28
7x=28
x=4
(3/4)*4=3
Distance George travels to work=3 miles
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = distance in miles to work
Let = his speed on his bike in mi/hr
--------------------------------------
Equation for riding bike:
(1)
Equation for driving car:
(2)
------------------------
By substitution:

Multiply both sides by

-----------------
(1)
(1)
The distance to work is 3 mi
--------------------------
check:
(2)
(2) mi
OK

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