SOLUTION: A driver travels from town A to town B at a constant speed, and then from town B to town C at a different constant speed. He takes 4 hours to go from A to B, and the same time to g

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Question 955638: A driver travels from town A to town B at a constant speed, and then from town B to town C at a different constant speed. He takes 4 hours to go from A to B, and the same time to go from B to C, even though the distance from B to C is 30 km greater. If his overall average speed is 80 km/h, find the distances between the three towns.
Answer by ankor@dixie-net.com(22740) (Show Source):
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A driver travels from town A to town B at a constant speed, and then from town B to town C at a different constant speed.
He takes 4 hours to go from A to B, and the same time to go from B to C, even though the distance from B to C is 30 km greater.
If his overall average speed is 80 km/h, find the distances between the three towns.
:
Let d = distance from A to B
then
(d+30) = distance from B to C
therefore
(2d+30) = the total distance and the total time = 8 hrs
:
Total Dist/ total time = average speed
= 80
2d + 30 = 8 * 80
2d + 30 = 640
2d = 640 - 30
2d = 610
d = 610/2
d = 305 km from A to B
therefore
305 + 30 = 335 km from B to C