Question

A contract was to be completed in 20 days and 24 men were put to work. After 13 days, 4 more men were engaged and the work was completed just in time. Had
not the extra men been engaged how many days would
the work have taken ?
(a) 23 (b) 25 (c)21 (1/6) (d) 21(1/3) (2) None​

Answer 1

Answer:

ans is 21 1/6

Step-by-step explanation:

24 men in 20 days

after 13 days

24+4= 28 men worked for 20-13=7 days

if 28 men in 7 days means 24 men in

28*7/24=8.16667

if extra men had not engaged then

13+8.16667= 21.16667 which is option c) 21 1/6 days

Answer 2

Answer:

21 $\frac{1}{6}$ days extra will be needed if the extra men would not have been engaged.

Explanation:

We know that,

24 men are supposed to complete a work in 20 days.

After 13 days,

Total number of men = 24+4= 28

Number of days left =  20-13 = 7 days

∴ By applying the unitary method,

Total number of days = 8.16

∴ Work done by 24 men = 13+8.16 days = 21.16 days = 21 $\frac{1}{6}$ days

Answer) The men would need 21 $\frac{1}{6}$ days to complete the work, hence option C is the correct answer.