math
posted by cheryl .
A bicyclist rode into the 5h. In returning, her speed was 5 mi/h faster and the trip took 4h. What was her speed each way?
distance =rate*time
The distance is the same.
y = rate going
z = rate returning
Going: d = y*t = y*5 = 5y
return: d = z*t = z*4 = 4z
we know the return rate was 5 mi/hr faster; therefore, the return rate of z = y+5
set d = d
5y=4z
z=y+5
=========
Solve simultaneously
Post your work if you need further assistance.
many students find distanceratetime problems really easy if they make a chart
..........│..D..│..R..│..T..│

1st trip..│.5x..│..x..│..5..│

2nd trip..│4(x+5)│x+5│..4..│
clearly the two trips are the same
so 5x=4(x+5).........etc, piece of cake
The chart really IS a good idea.
Respond to this Question
Similar Questions

word problem
A motor boat took 4 hours to make a downstream trip with a current of 3mph. The return trip against the same current took 8 hours. Find the speed of the boat in still water. Call Y the boat's rate. distance = rate x time. downstream … 
Math Vocabulary
What does distance/ time/ rate of speed mean? 
Help...More Math Help!!!...Please!
A kayaker paddled 2 hours with a 6 mph current in a river. The return trip against the same current took 3 hours. Find the speed the kayaker would make in still water. The speed is 6 mph slower going upstream and 6 mph faster going … 
math
it took cindy 2h to bike from abbott to benson at a constant speed. the return trip took only 1.5h because she increased her speed by 6km/h. how far apart are abbott and benson? 
science and medicine
I am having some trouble working this out . Could you possibily show me how to work it out.Thank You! A bicyclist rode into the country for 5 h. In returning, his speed was 5 mi/h faster and the trip took 4 hours. What was his speed … 
algebra
A bicyclist rode into the country for 5hr. In returning her speed was 5 mi/h faster and the trip took 4 hr. what was her speed each way? 
algebra
A consultant traveled 7 hours to attend a meeting. The return trip took only 6 hours because the speed was 10 miles per hour faster. What was the consultant's speed each way? 
math
Sam took traveled 8 hrs to his sisters house. The return trip took 7 hrs because the speed was 3 mi/hr faster. What was the Sam's speed each way? 
algebra
Science and medicine. A bicyclist rode into the country for 5 h. In returning, her speed was 5 mi/h faster and the trip took 4 h. What was her speed each way? 
algebra
These are very easy to set up with a "chart" DistanceRateTime (D=RxT) slow way 6xx6 fast way  5(x+7)x+75 so 6x = 5(x+7) 6x=5x+35+ x=35 The speed on the slower trip was 35 mph, and on …