SOLUTION: A car and a bus had to travel from destination A to B . The car was driving 10 km/h faster than the bus. After 3 hours and 30 minutes the car was to their B destination , while

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Question 513796: A car and a bus had to travel from destination A to B . The car was driving 10 km/h faster than the bus. After 3 hours and 30 minutes the car was to their B destination , while the bus had covered only 5/6 of that distance . we have to find the distance between A and B and the speeds of the car and the bus

Answer by ankor@dixie-net.com(22740) (Show Source):
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A car and a bus had to travel from destination A to B .
The car was driving 10 km/h faster than the bus.
After 3 hours and 30 minutes the car was to their B destination , while the bus had covered only 5/6 of that distance .
we have to find the distance between A and B and the speeds of the car and the bus
:
Find the speed of the vehicles first
s = speed of the bus
(s+10) = speed of the car
:
Write a distance equation: dist - speed * timer
:
Bus dist = 5/6 Car dist
3.5s = 3.5(s+10)
multiply both sides by 6
6(3.5s) = 5[3.5(s+10)]
21s = 17.5(s+10)
21s = 17.5s + 175
21s - 17.5s = 175
3.5s = 175
s =
s = 50 km/hr is the speed of the bus
then
50 + 10 = 60 km/hr is the speed of the car
:
Find the dist using the speed of the car: 3.5(60) = 210 km from A to B
:
:
Confirm this by finding the dist traveled by the bus: 3.5(50) = 175 km
reduces to