SOLUTION: Nancy drove from Calgary to Vancouver at an average speed of 90 km/h. On the way back, she slowed down to enjoy the scenery, and drove at an average speed of 80 km/h. Roundtrip

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Nancy drove from Calgary to Vancouver at an average speed of 90 km/h. On the way back, she slowed down to enjoy the scenery, and drove at an average speed of 80 km/h. Roundtrip      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1064509: Nancy drove from Calgary to Vancouver at an average speed of 90 km/h. On the way back, she slowed down to enjoy the scenery, and drove at an average speed of 80 km/h. Roundtrip, she drove a total of 23 hours. What is the driving distance between Calgary and Vancouver?
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
              SPEED        TIME      DISTANCE

GOING          90          d/90        d

RETURNING      80          d/80        d

TOTAL                      23

Sum of the time expressions,
d%2F90%2Bd%2F80=23

lowest common denominator, 720.
Multiply left and right members by 720 to begin simplifying the equation.