If the speed of a car is increased by 12 km/h, it takes 40 minutes less to cover a
distance of 240 km. Find the original speed of the car.
Answers
Given : the speed of a car is increased by 12 km/h, it takes 40 minutes less to cover a distance of 240 km
To Find : . Find the original speed of the car.
Solution:
Distance = Speed * Time
original speed of the car = x km/hr
Time taken = 240 / x hr
speed of a car is increased by 12 km/h,
new speed = x + 12 km/hr
Time taken = 240/(x + 12)
Less time taken = 40 mins = 2/3 hr
=> 240/x - 240/(x + 12) = 2/3
=> 360 ( 1/x - 1/(x + 12) = 1
=> 360 ( x + 12 - x) = x ( x + 12)
=> 360 * 12 = x² + 12x
=> x² + 12x - 360 * 12 = 0
=> x² + 72x - 60x - 360 * 12 = 0
=> x(x + 72) - 60(x + 72) = 0
=> x = 60
Hence the original speed of the car. = 60 km/hr
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