SOLUTION: Justin can jog to work in 3/4 of an hour. When he rides his bike, it takes him 1/3 of an hour. If he rides 12 miles per hour faster than he jogs, how far away is his work? Do n

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Justin can jog to work in 3/4 of an hour. When he rides his bike, it takes him 1/3 of an hour. If he rides 12 miles per hour faster than he jogs, how far away is his work? Do n      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 394157: Justin can jog to work in 3/4 of an hour. When he rides his bike, it takes him 1/3 of an hour. If he rides 12 miles per hour faster than he jogs, how far away is his work?
Do not do any rounding.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Justin can jog to work in 3/4 of an hour.
When he rides his bike, it takes him 1/3 of an hour.
If he rides 12 miles per hour faster than he jogs, how far away is his work?
:
Let s = his jogging speed
then
(s+12) = his biking speed
:
Write a distance equation
jog dist = bike dist
3%2F4s + 1%2F3(s+12)
multiply by 12 to get rid of the fractions; results:
3(3)s = 4(s+12)
9s = 4s + 48
9s - 4s = 48
5s = 48
s = 48%2F5
s = 9.6 mph is the jogging speed
then
(9.6+12) = 21.6 mph is the biking speed
:
Find the distance;
3%2F4*9.6 = 7.2 mi
:
Check the distance, biking;
1%2F3*21.6 = 7.2 mi