Aman can cover a certain distance in 16 hours. When his speed is increased by 5 km/hr the same distance can be covered in 14 hours. Find the distance.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 560 km.
Let Aman’s original speed be x km/hr and The distance be D km
Distance covered with the original speed = 16x.....(1)
Time taken at increased speed = 14 hours, with speed increased by 5 km/hr
⇒ D = 14(x + 5).....(2)
Putting the value of D in equation 2
⇒ 16x = 14(x + 5)
⇒ 16x = 14x + 70
⇒ 2x = 70
⇒ x = 35 km/hr
Thus,
Distance covered = 16x = 16 × 35 = 560 km