SOLUTION: Christin can jog to work in 3/4 of an hour. WHen she rides her bike, it takes her 1/3 of an hour. If she rides 12 miles per hour faster than she jogs, how far away is her work? Do

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Christin can jog to work in 3/4 of an hour. WHen she rides her bike, it takes her 1/3 of an hour. If she rides 12 miles per hour faster than she jogs, how far away is her work? Do       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 734003: Christin can jog to work in 3/4 of an hour. WHen she rides her bike, it takes her 1/3 of an hour. If she rides 12 miles per hour faster than she jogs, how far away is her work? Do not do any rounding.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Using x = distance to travel to arrive at work,

Fill some data into a table:
__________rate__________time___________distance
jog______(___)__________3/4____________x
ride_____(___)__________1/3____________x

That information is enough to find the expressions for the two different rates:

__________rate__________time___________distance
jog______(x(4/3))__________3/4____________x
ride_____(x(3/1))__________1/3____________x

A relationship between the two rates is given. Riding is 12 mph faster than jogging, so 3x=12%2Bx%284%2F3%29, or 3x=12%2B%284%2F3%29x. Solve for x, the distance to work.