Question 901580: To travel 154 miles, it takes Sue, riding a moped, 2 hours less time than it takes Doreen to travel 54 miles riding a bicycle. Sue travels 16 miles per hour faster than Doreen. Find the times and rates of both girls.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618)   (Show Source):
You can put this solution on YOUR website! t = time for Doreen to go 54 miles.
r = Doreen's rate or speed.
____________________speed_______time________distance
SUE_________________(____)______t-2_________154
DOREEN______________(____)______t____________54
____________________speed_______time________distance
SUE_________________r+16________t-2_________154
DOREEN_______________r__________t____________54
The rule for uniform travel rates is RT=D rate time distance. This gives the system of equations:
 .
Solve the system for r and t.
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website!
To travel 154 miles, it takes Sue, riding a moped, 2 hours less time than it takes Doreen to travel 54 miles riding a bicycle. Sue travels 16 miles per hour faster than Doreen. Find the times and rates of both girls.
Sue’s time:  hours
Doreen’s time:  hours
Sue’s speed:  mph
Doreen’s speed:  mph
You can do the check!!
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