Question

11. 25 men working 8 hours a day do a job in 63 days. How long would 45 men take to finish the job, working 7 hours a day?​

Answer 1

$\large{\underline{\rm{\blue{\bf{Question:-}}}}}$

25 men working 8 hours a day do a job in 63 days. How long would 45 men take to finish the job, working 7 hours a day?

$\large{\underline{\rm{\blue{\bf{Given:-}}}}}$

Days taken by ​25 men working 8 hours a day do a job = 63 hours

$\large{\underline{\rm{\blue{\bf{To \: Find:-}}}}}$

Days taken if 45 men take to finish the job, working 7 hours a day.

$\large{\underline{\rm{\blue{\bf{Solution:-}}}}}$

According to the question,

Time taken by 25 men to complete the work = $\sf 8 \times 63 = 504 \: hours$

Then,

Time taken by 1 men to complete the work = $\sf 25 \times 504 = 12600 \: hours$

Then, finding

Time taken by 45 men to complete the work = $\sf \dfrac{12600}{45} = 280 \: hours$

Therefore,

Time taken by 45 men to complete the work, working 7 hours a day = $\sf \dfrac{280}{7}=40 \: days$

Hence, 40 days are taken by 45 men to complete the work, working 7 hours a day.

Answer 2

25 men working 8 hours a day = 200 hours of work done a day.

They do a job in 63 days so total time taken is 12,600 hours.

45 men working 7 hours a day = 315 hours of work a day.

Number of days taken = 12,600/315=40