A farming field can be ploughed by 6 tractors in 4 days. When 6 tractors work together, each of them ploughs 120 hectares a day. If two of the tractors were moved to another field, then the remaining 4 tractors could plough the same field in 5 days. How many hectares a day would one tractor plough then?​

Case 1:

Tractors = 6

Days = 4

Area ploughed by one tractor = 120 hec

Area ploughed by all 6 tractors in a day = 6 x 120

= 720 hec

So, area ploughed by the tractors in 4 days = 720 x 4 = 2880 hec

So, total area of the field = 2880 hec

Case 2:

Tractors = 6 - 2 = 4

Days = 5

Area ploughed by one tractor = ?

Area of the field = 2880 hec

So,

2880 = Area ploughed by one tractor x Total = tractors x Total days

2880 = Area ploughed by one tractor x 4 x 5

Area ploughed by one tractor = 2880/20

So, area ploughed by one tractor = 144 hec

Solution: If each of 6 tractors ploughed 120 hectares a day and they finished the work would be finished in 4 days, then the whole field is: 120 x 6 x 4= 720 720 x 4=2880 hectares. Let's suppose that each of the four tractors ploughed x hectares a day. Therefore in 5 days they ploughed 5 x 4 x x=20 x x hectares, which equals the area of the whole field, 2880 hectares. So, we get 20x=2880 x=2880 over 20 =144 . Hence, each of the four tractors would plough 144 hectares a day.

Step-by-step Solution:

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.

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step-by-step explanation: