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:
- A.
64 KM
- B.
16 KM
- C.
68 KM
- 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.