10 horses can graze a field in 14 days, and 10 sheep take 28 days to graze the same field. How many days will 5 horses and 10 sheep take to graze the same field?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 14.
Given:
10 horses can graze a field in 14 days, and 10 sheep take 28 days to graze the same field
Formula used:
M1T1 = M2T2 ----- (1)
Where M and T are the number of men and time taken
Calculations:
Using equation (1), we get
Let the number of horses and sheep be H and S
⇒ 10 × H × 14 = 10 × S × 28
⇒ H/S = 2/1
Total Work = 10 × 2 × 14 = 280
Required time = 280/(5 × 2 + 10 × 1) = 280/20 = 14 days