Question

When 25 men work 2 hours per day for 28 days they produce 1200 units. if 15 men work 9 hours per day then in how many days will they produce 1500 units

Answer 1

Answer:

25 men working 2 hrs / day can do a piece in 28 days

∴ Total work units =25×2×28

=1400

No.of days required by 15 men, working at

a hrs/day=

15×9

2880

16 days

Answer 2

Given: 25 men work 2 hours per day for 28 days they produce 1200 units.

To find: We have to find the number of days required if 15 men work 9 hours per day.

Solution:

To determine the number of days we have to follow the below formula-

$\frac{M1D1H1}{T.W1}=\frac{M2D2H2}{T.W2}$

Where M1 is the number of men which is equal to 25.

D1 is the number of days=28

H1 is the number of hours=2

T.W1 is the total work=1200

M2 is the number of men=15

D2 is the number of days=x

H2 is the number of hours=9

T.W2 is the total work=1500

Putting these values in the above formula we get-

$\frac{25 \times 2 \times 28}{1200} = \frac{15 \times x \times 9}{1500} \\ x = 1500 \times \frac{25 \times 2 \times 28}{1200 \times 15 \times 9} \\ x = 12.9 \\ x = 13$

In 13 days they will produce the work.