Question

2 people can plough a field in 6 hours. How long would it take 1 person to plough the field

Answer 1

Answer:

One person can do this same work working at the same rate in 12 hours

Step-by-step explanation:

Please kindly see the attached file for more explanation

Answer 2

Answer:

It will take 12 hours for 1 person to plough the field

Step-by-step explanation:

This question can be solved using proportion, but we need to first find-out whether it is a direct proportion or and indirect proportion.

As the number of people increases, the time taken to plough a field will decrease, as the number of people decreases, the time taken to plough the field increases. This is an indirect proportion, so the value will be arranged inversely to each-other.

Let x be the time taken for 1 person to plough the field.

2 people   =   1 person

        x        = 6 hours

Cross-multiply

x × 1 = 2 × 6

x = 12 hours

It will take 12 hours for 1 person to plough the field