If the speed of a car is increased by 12 km/hr it takes 40 minutes less to cover distance of 240 km .Find the original speed of the car
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4
Answer:
60 km/hr
Step-by-step explanation:
Let original speed=x km/hr
f the speed of a car is increased by 12 km/hr it takes 40 minutes less to cover distance of 240 km
speed increased by (x+12) km/hr
distance d=240
t1 and t1 time taken by car at x and (x+12) speed
t1-t2=40min
Time=distance/speed
240/x-240/(x+12)=40/60
240(x+12)-240x/x(x+12)=2/3
1440/x^2+12x=1/3
x^2+12x-4320=0
x^2+72x-60x-4320=0
x(x+72)-60(x+72)=0
(x+72)(x-60)
x=60,-72
eliminate negative
x=60
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