SOLUTION: Some friends on a hike leave at 9am and return at 2pm. They spend one-quarter of the total distance walking uphill, one-half walking on level ground, and one-quarter walking downhi

Question 286016: Some friends on a hike leave at 9am and return at 2pm. They spend one-quarter of the total distance walking uphill, one-half walking on level ground, and one-quarter walking downhill. if their speed is 4mph on level ground, 2 mph uphill, and 6 mph downhill,approximately how far did they walk?
A. 16.9 miles B. 17.2 miles C. 10.6 miles D. 15.3 E. None of these.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Some friends on a hike leave at 9am and return at 2pm.
They spend one-quarter of the total distance walking uphill, one-half walking
on level ground, and one-quarter walking downhill. if their speed is 4mph on
level ground, 2 mph uphill, and 6 mph downhill,approximately how far did they walk?
:
"Some friends on a hike leave at 9am and return at 2pm."; therefore
Total time of the walk = 5 hrs
:
let d = total distance
:
"They spend one-quarter of the total distance walking uphill,"
.25d = walking uphill
:
"one-half walking on level ground,"
.5d = walking level ground
:
"and one-quarter walking downhill."
.25d = walking up-hill
:
if their speed is 4mph on level ground, 2 mph uphill, and 6 mph downhill,approximately how far did they walk?
:
Write a time equation; Time = dist/speed
+ + = 5
multiply by 12, results:
3(.5d) + 6(.25d) + 2(.25d) = 12(5)
;
1.5d + 1.5d + .5d = 60
:
3.5d = 60
d =
d ~ 17.2 miles
:
:
Check solution by finding the total time:
+ + =
+ + =
2.15 + 2.15 + .717 = 5.02 ~ 5 hrs

RELATED QUESTIONS
Carol has 8 hours to spend on a hike up a mountain and back again. She can walk up the... (answered by ankor@dixie-net.com)

Edward leaves home at 9AM to hike to another town 12 miles away. He rests for 1 hour, and (answered by stanbon)

Sat Tranh took a short hike with his friends up Mt. Wachusett. They hiked uphill at a... (answered by mananth,scott8148)

Please help me solve this word problem. Sat Tranh took a short hike with his friends up... (answered by josgarithmetic,stanbon)

Firneed help urgent! 1. Two planes leave NAIA at 4 p.m., one traveling east at 850 kph (answered by Targetweek)

Carol has 8 hours to spend on a mountain hike. She can walk up the trail at an average of (answered by MathTherapy)

Abigail Nightwind has planned a bike trip with some friends from her village. They will... (answered by funmath,Edwin McCravy)

Three friends took a short hike uphill at a steady pace of 1.5 mph and then downhill at a (answered by Boreal)

Set up a system of linear equations and solve for the indicated quantities Jim goes to (answered by josmiceli)