Question 747066
A bus travels 10 kilometer per hour faster than a car which had gone an hour ahead.
 Find the rate of each vehicle.
 How far had the car traveled when it was overtaken by the bus?
:
Let s = speed of the car
then
(s+10) = speed of the bus
:
When the bus overtakes the car, they will have traveled the same distance
let that distance = d
:
Write a time equation; time = dist/speed
:
Car travel time - bus travel time = 1 hr
{{{d/s}}} - {{{d/((s+10))}}} = 1
multiply by s(s+10), results:
d(s+10) - ds = s(s+10)
ds + 10d - ds = s^2 + 10s
10d = s^2 + 10s
A quadratic equation
s^2 + 10s - 10d = 0
obviously we need a little more information to solve this