Question

Problem:⤵️

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?​

Answer 1

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

Answer 2

Answer:

Each tractor would plough 144 hectres per day