The average speed of a car is 20km/h more than the average speed of a bus.If the car takes 4 hours less than the bus to cover a distance of 300km.Find the average speed of the bus and the car.
Answers
Answered by
36
I hope it will help u
Attachments:
Answered by
8
Answer:
bus =30km/hr; car =50km/hr
Step-by-step explanation:
Formula: Speed = Distance/ Time, Therefore, Time = Distance / speed
Given that speed of the car is 20km/hr more than the average speed of the bus, Let the speed of the bus be x,
Therefore speed of the car is x+20.
Average speed of the bus:
300/x - 4=300/x+20
= 300[x+20-x/x(x+20)]= 4
=300(20/ x(x+20)) = 4
=300(20/x²+20x) = 4 (upon cross multiplying)
=6000= 4x²+80x
4x²+80x-6000=0
4(x² + 20x -1500) =0
x²+20x-1500=0
Upon factorizing,
(x+50)(x-30)=0
x=30
The bus goes 30 kph; the car goes 50 kph
Similar questions