Question

12 men complete a work in 14 days. 5 days after they had started working, 3 men join them. How many more days will all of them take to complete the remaining work?
A) 5
B) 4
C) 3
D) 2

Answer 1

Q:

12 men complete a work in 9 days. After they have worked for 6 days, 4 more men join them. How many days will they take to complete the remaining work ?

A) 2 daysB) 2.5 daysC) 2.25 daysD) 3 days

Answer:   C) 2.25 days 

Explanation:

1 man's 1 day work = 1/108
12 men's 6 day's work = 1/9 x 6 = 2/3

Remaining work = 1 - 2/3 = 1/3

16 men's 1 day work = 1/108 x 16 = 4/27
4/27 work is done by them in 1 day.

1/3 work is done by them in 27/4 x 1/3 = 9/4 days.

.

Answer 2

12 men worked for 9 days = 12 * 9 = 108

after working for 6 days = 12 *6 = 72

days left = 108 - 72 = 36 

6 more men joined = 12 + 6 = 18

so, no. of days taken = 36 / 18 = 2 days