SOLUTION: A semi- truck travels 360 miles through flatline in the same amount of time it travels 180 miles through the mountains. The rate of the truck is 25 miles per hour slower in the mou
Algebra.Com
Question 363327: A semi- truck travels 360 miles through flatline in the same amount of time it travels 180 miles through the mountains. The rate of the truck is 25 miles per hour slower in the mountains than in the flatland. Find both the flatline rate and mountain rate.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A semi-truck travels 360 miles through flatland in the same amount of time
it travels 180 miles through the mountains.
The rate of the truck is 25 miles per hour slower in the mountains than in the flatland.
Find both the flatland rate and mountain rate.
:
Let r = the slow rate through the mountains
then
(r+25) = the faster rate through flat areas
:
Write a time equation; time = dist/rate
:
Flat time = Mountain time
=
Cross multiply
360r = 180(r+25)
360r = 180r + 4500
360r - 180r = 4500
180r = 4500
r = 4500/180
r = 25 mph through the mountains
then
25 + 25 = 50 mph on the flat
:
:
Check solution by finding the actual times, they should be equal
360/50 = 7.2 hrs
180/25 = 7.2 hrs also
RELATED QUESTIONS
A semi-truck travels 300 miles through the flatland in the same amount of time that it... (answered by josmiceli)
a semi truck travels 300 miles through flat land in the same amount of time it travels... (answered by stanbon)
A truck travels 400 miles through flat lands in the same amount of time it travels 200... (answered by rwm)
A car travels 400 miles on level terrain in the same amount of time it travels 160 miles... (answered by checkley75)
A car travels 400 miles on level terrain in the same amount of time it travels 160 miles... (answered by stanbon)
A car travels 400 miles on level terrain in the same amount of time it travels 160 miles... (answered by checkley77)
A car travels 400 miles on level terrain in the same amount of time it travels 160 miles... (answered by nyc_function,mananth)
A car travels 400 miles on level terrain in the same amount of time it travels 160 miles... (answered by mananth)
A car travels 400 miles on level terrain in the same amount of time it travels 160 miles... (answered by solver91311,mananth,jorel555)