10. 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?
Answers
Given that '15 oxen or 20 cows' can eat the grass of a field in 80 days.
⇒ Amount of grass of the field eaten by 15 oxen = Amount of grass of the field eaten by 20 cows
⇒ Amount of grass of the field eaten by 3 oxen = Amount of grass of the field eaten by 4 cows
⇒ Amount of grass of the field eaten by 6 oxen = Amount of grass of the field eaten by 8 cows
Thus,
⇒ Amount of grass of the field eaten by '6 oxen and 2 cows'
⇒ Amount of grass of the field eaten by '8 cows and 2 cows'
⇒ Amount of grass of the field eaten by '10 cows'
→ No. of days in which 20 cows eat the grass of the field = 80 days
→ No. of days in which 20/2 = 10 cows eat the grass of the field = 80 × 2 = 160 days
Thus, 6 oxen and 2 cows eat the same amount of grass of the field in 160 days.
Answer:
Step-by-step explanation:
Given:-
15 oxen or 20 Cows can eat the grass of a field in 80 Days.
=> 15 Oxen = 20 Cows.
=> 1 Oxen = 20/ 15 Cows.
Now, 6 Oxen;
=> 6 Oxen = 20/15 * 6
=> 6 Oxen = 8 Cows.
To Find:-
In how many days will 6 oxen and 2 cows eat the same grass?
6 Oxen + 2 Cows = ?
=> 8 Cows + 2 Cows =?
=> 10 Cows = ?
Given that,
20 Cows grase the Field in 80 days.
=> 10 Cows grase the Field = 2 × 80
=> 10 Cows grase the Field = 160 Days.
Hence,
6 oxen and 2 cows eat the same grass in 160 Days.