algebra word problem
posted by christy .
During the first part of a trip a canoeist travels 55 miles at a certain speed the canoeist travels 15miles on the second part of the trip, 5 miles per hour slower. The total time for the trip is 4hours. What was the speed on each part of the trip.
This is what I have so far, then I am lost
t1= 55/r t2=15/r5 =4
r (r5) (55/r + 15/r5) =4
55 (r5) +15r=4r (r5)
55r275 + 15r=4r^220r
Now I am lost.

algebra word problem 
Quidditch
You are practically there!
Combine terms and rearrange to get into the form:
4r^2 90r + 275 = 0
Use the quadratic formula to find r. There will be two answers. One of the answers is the result if the canoeist reverses direction (r5 is negative). 
algebra word problem 
Quidditch
r5 being negative results in a negative t2 and so should be ignored.
Respond to this Question
Similar Questions

ALGEBRA
DURING THE FIRST PART OF A TRIP, A CANOEIST TRAVELS 35 MILES AT A CERTAIN SPEED. THE CANOEIST TRAVELS 17 MILES ON THE SECOND PART OF THE TRIP AT A SPEED OF 5 MPH SLOWER. THE TOTAL TIME FOR THE TRIP IS 3 HRS. WHAT WAS THE SPEED ON EACH … 
algebra
during the first part of a trip a canoeist travels 64 miles at a certain speed. the canoeist travels 11 miles on the second part of the trip at a 5 mph slower. the total time for the trip is 2 hrs. what speed on each part of the trip 
algebra 2
during the first part of a trip, a canoeist travels 47 miles at a certain speed. the canoeist travels 16miles on the second part of the trip at a speed 5mph slower. the total time for the trip is 4 hours. what was the speed on each … 
Algebra
During the first part of a trip, a canoeist travels 98 miles at a certain speed. The canoeist travels 10 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 3 hours. What was the speed on the … 
Algebra
During the first part of a trip a canoeist travels 49 miles at a certain speed. The canoeist travels 25 miles on the second part of the trip at a speed of 5mph slower. The total time for the trip is 5hrs. What was the speed on each … 
Algebra  Please HELP
During the first part of a trip a canoeist travels 49 miles at a certain speed. The canoeist travels 25 miles on the second part of the trip at a speed of 5mph slower. The total time for the trip is 5hrs. What was the speed on each … 
algebra
During the first part of a trip, a canoeist travels 69 miles at a certain speed. The canoeist travels 2 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 3 hrs. What was the speed on each … 
algebra
During the first part of a trip a canoeist travels 71 miles at a certain speed. The canoeist travels 5 miles on the second part of the trip at the speed 5mph slower. The total time for the trip is 4hrs. Waht was the speed on each part … 
Algebra
During the first part of a trip, a canoeist travels 57 miles at a certain speed. The canoeist travels 13 miles on the second trip at a speed 5 mph slower. The total time for the trip is 5 hrs. what was the speed on each part of the … 
algebra 2
During the first part of a trip a canoeist travels 26 miles at a certain speed. The canoeist travels 8 miles on the second part of the trip at a speed 5 mph slower. Total time is 3 hours. What was the seed on each part of the trip