Two cyclists cover the same distance at 15 km/hr and 16 km/hr, respectively.…

2026

Two cyclists cover the same distance at 15 km/hr and 16 km/hr, respectively. If one cyclist takes 16 minutes longer than the other, then the distance travelled by each cyclist is:

  1. A.

    64 KM

  2. B.

    16 KM

  3. C.

    68 KM

  4. D.

    12 KM

Attempted by 16 students.

Show answer & explanation

Correct answer: A

First, convert the time difference from minutes to hours: 16 minutes = 16/60 hours = 4/15 hours.
Let the distance be d km.
The time taken by the first cyclist is d/15 hours, and for the second cyclist is d/16 hours.
Since the slower cyclist takes longer, we have: d/15 - d/16 = 4/15.
Solving for d: (16d - 15d) / 240 = 4/15 => d/240 = 4/15 => d = (4 * 240) / 15 => d = 64 km.
Thus, the distance travelled by each cyclist is 64 km.

Explore the full course: Nta Ugc Net Paper 1