The average speed of a car is 20km/he 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 car and the bus
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Let b be the speed of the bus. Then the car is b+20. So:
300/b - 4=300/b+20
300(b+20) -4b²-80b=300b
4b²+80b-6000=0
b²+20b-1500=0
(b+50)(b-30)=0
b=30
The bus goes 30 kph; the car goes 50 kph
300/b - 4=300/b+20
300(b+20) -4b²-80b=300b
4b²+80b-6000=0
b²+20b-1500=0
(b+50)(b-30)=0
b=30
The bus goes 30 kph; the car goes 50 kph
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