A person travels equal distances with speeds of 4 km/hr, 5 km/hr and 6 km/hr…
2025
A person travels equal distances with speeds of 4 km/hr, 5 km/hr and 6 km/hr and takes a total time of 37 minutes. The total distance (in km) is
- A.
4
- B.
5
- C.
3
- D.
2
Attempted by 19 students.
Show answer & explanation
Correct answer: C
Solution:
Let each equal distance be d km.
Total time = d/4 + d/5 + d/6 hours. This equals 37 minutes = 37/60 hour.
Combine the fractions: (15d + 12d + 10d) / 60 = 37/60 ⇒ 37d/60 = 37/60.
Solve for d: 37d/60 = 37/60 ⇒ d = 1 km.
Total distance = 3 × d = 3 × 1 = 3 km.
Answer: 3 km