SOLUTION: Can someone help me understand how to answer this problem. I think the answer is 50.4 miles.
A cyclist traveled at a rate of 24 mph to visit a nearby town. The cyclist averaged 18
Algebra.Com
Question 99946: Can someone help me understand how to answer this problem. I think the answer is 50.4 miles.
A cyclist traveled at a rate of 24 mph to visit a nearby town. The cyclist averaged 18 mph on the return trip. If the round trip took 4.9 hours, find the distance to the nearby town.
Found 2 solutions by checkley71, ankor@dixie-net.com:
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
24X=18(4.9-X)
24X=88.2-18X
24X+18X=88.2
42X=88.2
X=88.2/42
X=2.1 HOURS GOING @ 24 MPH OR:
24*2.1=50.4 MILES GOING
18(4.9-2.1)=18*2.8=50.4 MILES RETURNING
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A cyclist traveled at a rate of 24 mph to visit a nearby town. The cyclist averaged 18 mph on the return trip. If the round trip took 4.9 hours, find the distance to the nearby town.
:
Let d = distance to the nearby town
:
Write a time equation: Time = Distance/speed
:
Time to + time back = 4.9
+ = 4.9
:
Choose a multiple of both denominators, multiply equation by 72:
72* + 72* = 72(4.9)
:
Cancel out the denominators:
3d + 4d = 352.8
:
d = 352.8/7
:
d = 50.4 mi; which is what you got. Way-to-Go!!!
:
RELATED QUESTIONS
(Question) Two cyclists start biking from a trailhead at different speeds and times. The... (answered by josgarithmetic,Alan3354)
at a speed of 350mph, the number of miles traveled in 7 hours...
350/7= 50 miles... (answered by checkley77)
A train traveling at 40 miles per hour leaves for a certain town. One hour later, a bus... (answered by Cintchr)
A train traveling at 40 miles per hour leaves for a certain town. One hour later, a bus... (answered by Cintchr,Earlsdon)
Can someone please solve this sum for me and explain how you got to the answer?
Two... (answered by ankor@dixie-net.com)
A cyclist bikes at a constant speed for 24 miles. He then returns home at the same speed (answered by Paul)
A runner traveled 3 miles in the same time that a cyclist traveled 10 miles. The speed of (answered by jim_thompson5910)
On a 600-mile trip, the traveler traveled 50 miles per hour for the first 1/3 of the trip (answered by josmiceli)
Please help me with this problem:
A cyclist bikes x distance at 10 miles per hour and... (answered by richard1234)