SOLUTION: Malik drove his car for 45 miles at an average speed of r miles per hour. On the return trip, traffic has increased, and Malik's average speed is 3/4 r. The round trip took a total

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Malik drove his car for 45 miles at an average speed of r miles per hour. On the return trip, traffic has increased, and Malik's average speed is 3/4 r. The round trip took a total      Log On


   

Question 948110: Malik drove his car for 45 miles at an average speed of r miles per hour. On the return trip, traffic has increased, and Malik's average speed is 3/4 r. The round trip took a total of 1 hour and 45 minutes. Set up a system of equations to find the average speed for each portion of the trip.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
RT=D for rate time distance;
45 minutes is 3%2F4 hour.

___________________rate__________time_________distance
GOING_______________r____________(____)________d
RETRNG_____________(3/4)r_______(_____)________d
TOTAL___________________________1%263%2F4

Fill the missing time cells.
Note that given is d=45 miles.

___________________rate__________time_____________distance
GOING_______________r____________45%2Fr_______________45
RETRNG_____________(3/4)r_______%2845%2F%28%283%2F4%29r%29%29_______45
TOTAL___________________________1%263%2F4

Form and solve the time-sum equation.