A man covers a certain distance by car in 5 hours. If he increases his speed by 12 km/h, he takes one hour less to cover the same distance. What is the original speed of the car?
Show answer & explanation
Correct answer: A
Explanation
Let the original speed of the car be x km/h.
Initial time = 5 hours
Therefore, distance = 5x
New speed after increasing it by 12 km/h = x + 12
Now, the time taken will be one hour less = 5 - 1 = 4 hours
Therefore, distance = 4(x + 12)
The distance is the same in both cases:
5x = 4(x + 12)
5x = 4x + 48
x = 48 km/h