SOLUTION: solve. Round to the nearest tenth if necessary
Mr. Johns drives a semitrailer. On one trip to a city 275 mi from his home, he traveled 30 min longer going than he did returning
Algebra.Com
Question 1034493: solve. Round to the nearest tenth if necessary
Mr. Johns drives a semitrailer. On one trip to a city 275 mi from his home, he traveled 30 min longer going than he did returning along the same route because of construction work. How long did it take him to make the trip each way if his rate going was 5 mi/hr slower than his rate returning? How fast did he travel each way?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Mr. Johns drives a semitrailer. On one trip to a city 275 mi from his home, he traveled 30 min longer going than he did returning along the same route because of construction work. How long did it take him to make the trip each way if his rate going was 5 mi/hr slower than his rate returning? How fast did he travel each way?
------
Going DATA:
dist = 275 ; time = t+(1/2) hr ; rate = 275/(2t+1)/2 = 550/(2t+1) mph
-------------------
Return DATA:
dist = 275 ; time = t hrs ; rate = 275/t mph
------------------
Equation::
return rate - rate = 5 mph
275/t - 550/(2t+1) = 5
------
275(2t+1) - 550t = 5t(2t+1)
550t + 275 - 550t = 10t^2 + 5t
-----
10t^2 + 5t - 275 = 0
-----
2t^2 + t - 137.5 = 0
------------------
t = 8.045 hrs (time to return)
t + 0.5 = 8.545 hrs (time to Go)
-------------
Cheers,
Stan H.
------------
RELATED QUESTIONS
mr. robinson traveled to a city 260 miles from his home to attend a meeting. due to car... (answered by josgarithmetic,MathTherapy)
Mr. Duncan traveled to a city 340 miles from his home to attend a meeting. Due to car... (answered by josgarithmetic)
Mr. Martin traveled to a city 150 miles from his home to attend a meeting. Due to car... (answered by macston)
Mr. John traveled to a city 120 miles from his home to attend a meeting. Due to car... (answered by josmiceli,mananth)
Mr. Martin traveled to a city 350 miles from his home to attend a meeting. Due to car... (answered by jorel555)
mr. robinson traveled to a city 260 miles from his home to attend a meeting. due to car... (answered by josgarithmetic)
Solve. Round to the nearest tenth of necessary
The Schultzes biked 15 mi from... (answered by Alan3354,richard1234)
Convert. If necessary, round to the nearest tenth.
100... (answered by richwmiller)
Solve. Round to the nearest tenth of necessary
Mr. Albert drove to his cottage in the... (answered by ankor@dixie-net.com)