With a uniform speed, a car covers a distance in 16 hours. Had the speed been increased by 20 km/h, the same distance would have been covered in 12 hours. The total distance covered by the car is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 960 km.
Let the uniform speed of the car be x km/h and distance covered be D km.
Distance = Speed × Time
According to the given question,
D = x × 16 ....(i)
New speed = (x + 20) km/h
⇒ D = (x + 20) × 12 ...(ii)
Equating equation (i) and equation (ii),
⇒ 16x = 12x + 240
⇒ 4x = 240
⇒ x = 60
Putting the value of x in equation (i),
⇒ D = 60 × 16
⇒ D = 960 km