Math
posted by leena .
To travel 175 miles, it takes Sue, riding a moped, 4 hours less time than it takes Doreen to travel 66 miles riding a bicycle. Sue travels 19 miles per hour faster than Doreen. Find the times and rates of both girls.

Let Doreen's speed = x and Sue's = x + 19.
Let y  4 = Doreen's time and y = Sue's time
Speed = distance/time
x = 175/(y4) (Doreen)
x + 19 = 66/y (Sue)
Substitute the value of x from the first equation into the second and solve.
I hope this helps. Thanks for asking.
Respond to this Question
Similar Questions

intermediate algebra
You can travel 40 miles on a motorcycle in the same time that it takes to travel 15 miles on a bicycle. If your motorcycle's rate is 20 miles per hour faster than your bicycle's rate, find the speed of the motorcycle and bicycle. motorcycle … 
college algebra
Solve the problem. A man rode a bicycle for 12 miles and then hiked an additional 8 miles. The total time for the trip was 5 hours. If his rate when he was riding a bicycle was 10 miles per hour faster than his rate walking, what was … 
math
I need help to get started with writing the equation for the following problem: It takes a freight train 2 hours longer to travel 300 miles than it takes an express train to travel 280 miles. The rate of the express train is 20 miles … 
PreAlgebra
Courtnytravels south on her bicycle riding 8 miles per hour. One hour later, her friend Horacio starts riding his bicycle from the same location. If he travels south at 10 miles per hour, how long will it take him to catch Courtney? 
algebra
A train can travel 280 miles in the same time that it takes a car to travel 140 miles. If the train's rate is 40 miles per hour faster than the cars, find the average for each. 
college algebra
to travel 132 miles it take sue riding a moped 2 hours less time then it takes doreen to travel 56 miles riding a bike. sue travels 15 miles per hour faster then doreen find the time and rates 
math
Juan drives to work. Because of traffic conditions, he averages 22 miles per hour. He returns home averaging 32 miles per hour. The total travel time is 2 1/4 hours. Define a variable for the time Juan takes to travel to work. Write … 
Pre Calculus
A motorboat travels 48 miles down a river in the same time it takes to travel 32 miles up the river. If the rate of the current is 4 miles per hour that is the rate of the boat still water? 
Algebra 2
It takes You, riding a motorcycle, 2 hours less time to travel 60 miles than it takes Marley to travel 50 miles riding a horse. You travel 10 miles per hour faster than Marley on a horse. Find yours and Marleyâ€™s times and rates of … 
contemporary mathematics
A passenger train travels 392 miles in the same time that it takes freight train to travel 322 miles. If the passenger train travel 20 miles per hour faster than the freight train.Find the rate of each train.