SOLUTION: Walking up a 4 - mile trail, a hiker travels 1 mph slower than walking down the same trail. If a total of 5 hours is spent walking up and down the trail. What is the hiking speed

Algebra.Com
Question 629122: Walking up a 4 - mile trail, a hiker travels 1 mph slower than walking down the same trail. If a total of 5 hours is spent walking up and down the trail. What is the hiking speed in each direction?



please solve this... urgently

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
Walking up a 4-mile trail, a hiker travels 1 mph slower than walking down the same trail at speed
Note: D = rt OR t = D/r
Question states*** total of 5 hours is spent walking up and down the trail
|Multiplying thru by x(x-1) so as all denominators = 1
4x + 4(x-1) = 5x(x-1)
4x + 4x - 4 = 5x^2 - 5x
5x^2 - 13x + 4 = 0


RELATED QUESTIONS

two hikers on a stright trail are 22 miles apart and walking toward each other. After 4... (answered by jorel1380)
Two hikers started from opposite ends of a 29-mile trail. One hiker walked 1.25 mph... (answered by mananth)
two hikers (a and b) are walking along a marked trail the first hiker a starts at a point (answered by richwmiller)
Two hikers are walking along a marked trail. The first hiker starts at a point 6 mi from... (answered by richwmiller)
jim was hiking on a trail and, after walking 3/4 of a mile, he found that he was only 5/8 (answered by ankor@dixie-net.com)
A hiker climbs a 5 mile trail up a mountain in 2 hours. On the return trip downhill, she... (answered by Cromlix)
Boris hiked up a mountain trail and camped overnight at the top. The next day he returned (answered by mananth,solver91311)
Dan hiked up a mountain trail and camped overnight at the top. The next day he returned... (answered by ewatrrr)
Dan hiked up a mountain trail and camped overnight at the top. The next day he returned... (answered by ewatrrr,solver91311)