A car covers a distance of 400 km at a certain speed. Had the speed been 12 km/hr more, the time taken for the journey would have been 1 hr 40 min less. Find the original speed of the car.
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Answer:
The original speed of the car = 48 kmph
Step-by-step explanation:
Let the original speed of the car be x kmph
case i:
Distance = 400 km
speed = x kmph
Time taken = 400/x hrs
case ii:
Distance = 400 km
speed = (x+12) kmph
Time taken = (400/x+12)
But as per the question, the time taken is 1 hr 40 min lesser than the previous.
that means,
400/x - (1 hr 40 min) = (400/x+12)
x² + 12x - 2880 = 0
(x - 48)(x + 60) = 0
x = 48 as the negative value of x is ignored.
The original speed of the car = 48 kmph
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