A man starts from a place A and reaches the place B in 16 hours. He travels…
2021
A man starts from a place A and reaches the place B in 16 hours. He travels 1/2 distance at the speed of 6 km/hr and the remaining distance at the speed of 18 km/hr. What is the distance between A and B?
- A.
144 km
- B.
169 km
- C.
100 km
- D.
196 km
Attempted by 29 students.
Show answer & explanation
Correct answer: A
Let the total distance be D. Each half is D/2.
Time for first half = (D/2) / 6 = D/12 hours.
Time for second half = (D/2) / 18 = D/36 hours.
Total time: D/12 + D/36 = 16.
Combine fractions: (3D + D) / 36 = 16.
4D / 36 = 16 => D / 9 = 16.
D = 16 * 9 = 144 km.
Final Answer: Option 1