SOLUTION: During the first part of a canoe trip, David covered 60 kilometers at a certain speed. He then traveled 24 kilometers at a speed that was 4 kilometres per hour slower. If the total
Algebra.Com
Question 966626: During the first part of a canoe trip, David covered 60 kilometers at a certain speed. He then traveled 24 kilometers at a speed that was 4 kilometres per hour slower. If the total time for the trip was 8 hours, what was the speed on each part of the trip?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
During the first part of a canoe trip, David covered 60 kilometers at a certain speed. He then traveled 24 kilometers at a speed that was 4 kilometres per hour slower. If the total time for the trip was 8 hours, what was the speed on each part of the trip?
***
let x=speed of first part of trip
x-4=speed of second part of trip
travel time=distance/speed
lcd:x(x-4)
60(x-4)+24x=8x(x-4)
60x-240+24x=8x^2-32x
8x^2-116x+240=0
solve for x by quadratic formula:
a=8, b=-116, c=240
ans:
x=2.5 (reject)
or
x=12
..
x-4=8
speed of first part of trip=12 km/h
speed of second part of trip=8 km/h
RELATED QUESTIONS
During the first part of a canoe trip, Tim covered 60 km at a certain speed. He then... (answered by stanbon)
During the first part of a canoe trip, Ken covered 60 km at a certain speed. He then... (answered by mananth)
during the first part of a kayak trip jack covered 60 km at certain speed he then travel... (answered by ankor@dixie-net.com,addingup)
During the first part of a canoe trip, covered 81 miles at a certain speed. He then... (answered by josmiceli)
During the first part of a canoe trip, covered 75 miles at a certain speed. He then... (answered by josmiceli)
During the first part of a canoe trip, covered 81 miles at a certain speed. He then... (answered by KnightOwlTutor)
Phil is taking a 40-kilometer canoe trip. If he travels at 30 kilometers per hour for the (answered by ptaylor)
Can someone help me break this down? I have been working on it for an hour and I keep... (answered by josgarithmetic)
A car at a certain speed travels 120 kilometers during the first part. On the second... (answered by jorel555)