Question 146824: A bus takes 12 hours to travel the same distance that an airplane travels in 1.5 hours. the average speed of the airplane is 120km per hour faster than five times the average speed of the bus . what is the average speed of the bus?
let x represent the speed of the bus
Answer by 24HoursTutor.com(40)   (Show Source):
You can put this solution on YOUR website! Let us assume the speed of the bus to be x as suggested in the question.
The equation for distance traveled is as follows :
d = speed X time
So, the distance traveled by the bus can be written as :
d = 12x
Now, the speed of the plane is said to be 120 + 5x which is 120km faster than 5 times the speed of the bus. So the distance traveled by plane can be written as :
d = 1.5 ( 120 X 5x)
We know that that the distance traveled by both the plane and bus is the same. So, we can equate the above two equations to give us :
12x = 1.5( 120 X 5x)
12x = 180 + 7.5x
12x -7.5x = 180
4.5x = 180
x = 180/4.5
x = 40
Ans. : The average speed of the bus is 40km/hour
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