SOLUTION: 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. Fin

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(39620) (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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