A car can cover a certain distance at a certain uniform speed in 19.2 hours. If the speed is increased by 8 km per hour, the same distance is covered in 18 hours. The distance (in km) is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 2304.
Let the uniform speed be x km/h.
Time = 19.2 hours
Distance = x × 19.2
⇒ 19.2 x km ---- (1)
New speed = (x + 8) km/h
Time = 18 hours
Distance = (x + 8) × 18 ---- (2)
From 1 and 2
x × 19.2 = (x + 8) × 18
⇒ 19.2x = 18x + 144
⇒ 19.2x - 18x = 144
⇒ 1.2x = 144
⇒ x = 120
Distance = 120 × 19.2 = 2304 km