A farmer travelled a distance of 61 km in 9 hours .He travelled partly on foot…
2024
A farmer travelled a distance of 61 km in 9 hours .He travelled partly on foot in 4 km per hour and partly on bicycle in 9 km per hour .The distance travelled on foot is ?
- A.
14 km
- B.
15 km
- C.
16 km
- D.
17 km
Attempted by 435 students.
Show answer & explanation
Correct answer: C
Answer: 16 km
Let the distance travelled on foot be x km. Then the distance travelled by bicycle is 61 - x km.
Time walking = x/4 hours; time cycling = (61 - x)/9 hours. Total time: x/4 + (61 - x)/9 = 9.
Multiply both sides by 36 (LCM of 4 and 9) to clear denominators: 9x + 4(61 - x) = 324.
Simplify: 9x + 244 - 4x = 324 → 5x = 80 → x = 16. Therefore the distance travelled on foot is 16 km.