(ii) If the speed of a car is decreased by 12 km/h, it takes 1 hour more to cover a
distance of 240 km. Find the original speed of the car.
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Answer:
.original speed of the car is 48 km/hr
Step-by-step explanation:
Let s & t be the original speed & time taken.
So s×t = 240
t = 240/s
Also (s - 8)(t+1) = 240
st+s-8t-8 = 240
Applying the value of st & t in above equation
240+s-8×240/s-8 = 240
s -1920/s = 8
s²-1920 = 8s
s²-8s-1920 = 0
(s-48)(s+40) = 0
So s = 48 or -40
Since s can not be negative, s = 48
So original speed of the car is 48 km/hr
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