Question

25 men can complete a job is 30 days. After how many days should the strength of work force be increased by 50 men so that the work will be completed in 23rd of the actual time: Select one: a. 5 b. 15 c. 10 d. 18

Answer 1

b15 days
if 25 men omplete the work in 30 days then the days required for 50 men to complete the work will be 15 days

Answer 2

Answer: Option 'a' is correct.

Step-by-step explanation:

Since we have given that

Number of men can complete a job in 30 days = 25

Number of men who can complete a job in $\dfrac{2}{3}^{rd}$ of time i.e. $\dfrac{2}{3}\times 30=20\ days$

As we know the rule of "Time and Work":

Number of men × Difference of time = Number of men now × Number of days required

$25\times (30-20)=50\times x\\\\25\times 10=50\times x\\\\250=50x\\\\x=\dfrac{250}{50}\\\\x=5$

Hence, After 5 days, they should increase the strength of work force by 50 men.

Therefore, option 'a' is correct.