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With a uniform speed, a car covers a distance in 16 hours. Had the speed been increased by 20km/h, the same distance would have been covered in 12 hours. The total distance covered by the car is:

  1. A
    720km
  2. B
    1080km
  3. C
    960km
  4. D
    480km

Solution & Step-by-step Explanation

Let the original speed of the car be vkm/h.
Since the distance covered in both cases is the same:

Distance=Speed×Time
D=v×16
With the increased speed:

D=(v+20)×12
Equating both expressions for D:

16v=12(v+20)
16v=12v+240
16v−12v=240
4v=240
v=60km/h
Now, find the total distance:

D=16×60=960km

Practice this question

Try it yourself before checking the explanation above.

With a uniform speed, a car covers a distance in 16 hours. Had the speed been increased by 20km/h, the same distance would have been covered in 12 hours. The total distance covered by the car is:
A
720km
B
1080km
C
960km
D
480km

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