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:
- A720km
- B1080km
- C960km
- D480km
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
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