A driver of a car travelling at 52 km/h applies the brakes and accelerates uniformly in the opposite direction, the car stops in 5 sec. Another driver going at 3 km/h in another car applies his brakes slowly and stops in 120 sec. On the same graph paper, plot the speed versus time graphs for the two cars. Which of the two cars travelled further after the brakes were applied?
It's 120 seconds not 10 seconds
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Answer:
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 kmph; the car goes 50 kmph
Explanation:
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Hy mate I hope this answer helps you
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