SOLUTION: A bus traveled on a level road for 3 hrs at an average speed of 20 mph faster than it traveled on a winding road. The time spent on the winding road was 4 hrs, find the average spe

Question 267080: A bus traveled on a level road for 3 hrs at an average speed of 20 mph faster than it traveled on a winding road. The time spent on the winding road was 4 hrs, find the average speed on the level road if the entire trip was 305 miles.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A bus traveled on a level road for 3 hrs at an average speed of 20 mph faster than it traveled on a winding road.
The time spent on the winding road was 4 hrs, find the average speed on the level road if the entire trip was 305 miles.
:
Let s = average speed on the level road
then
(s-20) = average speed on the winding road
:
Write a distance equation: Dist = time * speed
:
Lev rd dist + wind rd dist = 305 mi
3s + 4(s-20) = 305
:
3s + 4s - 80 = 305
7s = 305 + 80
7s = 385
s =
s = 55 mph, av speed on the level road
:
;
Check solution by finding the dist traveled at each speed
4(55) = 220
3(35) = 105
-------------
total = 305; confirms our solution
RELATED QUESTIONS
A bus traveling on a level road for 3 hrs at an average speed 20 mph faster than it... (answered by josgarithmetic)

A bus travel on a level road for three hours at an average speed of 20 mph faster than it (answered by josmiceli,ikleyn)

A bus traveled on a level road for 6 hours at an average speed 20 miles per hour faster... (answered by t0hierry,josmiceli)

A bus traveled on a level road for 3 hours at an average speed 20 miles per hour faster... (answered by scott8148)

here's another one: a bus traveled on a level road for 3 hours at an average speed 20... (answered by josmiceli)

A bus traveled on a level road for 3 hours at an average speed 20 miles per hour faster... (answered by ankor@dixie-net.com)

A bus traveled on a level road for 5 hours at an average speed 20 miles per hour faster... (answered by josmiceli)

A bus traveled on a level road for 3 hours at an average speed 20 miles per hour faster... (answered by josgarithmetic)

A bus traveled on a level Road for 3 hours at an average speed 20 miles per hour faster... (answered by jorel1380)