SOLUTION: The road from village A to village B first goes uphill and then downhill. A bus moves uphill always at a speed of 30km/h and downhill always at a speed of 60km/h. Find the distance

Question 932995: The road from village A to village B first goes uphill and then downhill. A bus moves uphill always at a speed of 30km/h and downhill always at a speed of 60km/h. Find the distance between A and B if a round trip from A to B and back without intermediate stops takes 4 hours. *Hint: Using more than one variable might help
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The road from village A to village B first goes uphill and then downhill.
A bus moves uphill always at a speed of 30km/h and downhill always at a speed of 60km/h.
Find the distance between A and B if a round trip from A to B and back without intermediate stops takes 4 hours.
:
Let d = distance traveled at 30 there and back
also
Let d = distance traveled at 60 there and back
:
Write time equation, time = dist/speed
time uphill + time down hill = 4
+ = 4
multiply by 60, cancel the denominators and you have
2d + d = 60(4)
3d = 240
d = 240/3
d = 80 km from A to B

RELATED QUESTIONS
The road from A to B is 10km uphill followed by 20km downhill. A motorcyclist averages... (answered by Alan3354)

The road from A to B is 10km uphill followed by 20km downhill. A motorcyclist averages... (answered by ikleyn)

John walks from town A to town B. He first walks on flat land, and then uphill. He then... (answered by ankor@dixie-net.com)

The distance between towns A to B is equal to 48 km. The road connecting A and B is not... (answered by TimothyLamb)

A hiker can walk at an average speed of 2 mph uphill and 6 mph downhill. Suppose he takes (answered by drk)

A cyclist has travel 6 miles to reach his destination. he has to either choose to travel... (answered by jorel1380)

When Elizabeth visits her friend Andrew, she must first walk uphill, then walk on level... (answered by hokies)

A bicyclist rides 1 mile uphill at 5 mph and then rides 1 mile downhill at 10 mph. Find... (answered by DrBeeee)

A mountaineer needs 5 hours to go over a mountain. The length of the path is 15km. His... (answered by Alan3354)