If 15 oxen or 20 cows can eat the grass of a field in 80 days, then in how…
2024
If 15 oxen or 20 cows can eat the grass of a field in 80 days, then in how many days will 6 oxen and 2 cows eat the same grass?
- A.
40
- B.
60
- C.
100
- D.
160
Attempted by 55 students.
Show answer & explanation
Correct answer: D
Key idea: convert animals to a common unit (cows) and use proportional work.
From 15 oxen = 20 cows, one ox equals 20/15 = 4/3 cows.
Six oxen and two cows equal 6*(4/3) + 2 = 8 + 2 = 10 cows (equivalent).
Total work is proportional to number of animals × days. If 20 cows take 80 days, then for 10 cows the required days = (20 * 80) / 10 = 160 days.
Answer: 160 days.