Question

14 If 12 persons can complete a piece of work in 20 days, how many days will it take 15 persons to complete the
work?​

Answer 1

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Let us suppose 15 men finish a work in 'x’ days Then 20 : x = 5 : 4

x= 16 i.e required number of days.

Or

Men(M1) * Days(D1) = Men(M2) * Days(D2)

Here, M1= 12 , M2 = 15 and D1= 20 and D2 = ? Suppose x

Now , from this formula

12 * 20 = 15 * x

240 = 15x

x= 240/15

x= 16

Answer 2

Answer:

16 days

Step-by-step explanation:

Work’ is directly proportional to Time 't’( more work, more time) principal

Ratio of numbers of men = 12:15 = 4:5. The ratio of times taken = 5:4. (Here ratio of time was taken not the ratio of days. The ratio of time taken is obtained by interchanging values of 1 st men and 2 nd men)

Now take the ratio between time and work then you will get answer

Let us suppose 15 men finish a work in 'x’ days Then 20 : x = 5 : 4

x= 16 i.e required number of days.

Or

Men(M1) * Days(D1) = Men(M2) * Days(D2)

Here, M1= 12 , M2 = 15 and D1= 20 and D2 = ? Suppose x

Now , from this formula

12 * 20 = 15 * x

240 = 15x

x= 240/15

x= 16