a) 50 days
b) 70 days
c) 95 days
d) 110 days
Correct answer is:
a) 50 days
Explanation
![Some workers working 12 hours per day can dig canal of length 70 metres, breadth 3 metres and depth 2 metres in 10 days Some workers working 12 hours per day can dig canal of length 70 metres, breadth 3 metres and depth 2 metres in 10 days](https://sciencesparkle.com/wp-content/uploads/2024/04/Some-workers-working-12-hours-per-day-can-dig-canal-of-length-70-metres-breadth-3-metres-and-depth-2-metres-in-10-days-1024x176.png)
Here,
Hours are inversely proportional to Days.
And,
Length, Breadth and Depth are Directly proportional to Days.
\therefore x=10\times\large\frac{12}{8}\normalsize\times\large\frac{140}{70}\normalsize\times\large\frac{4}{3}\normalsize\times\large\frac{2.5}{2}
\rightarrow x=10\times\large\frac{12}{8}\normalsize\times\large\frac{140}{70}\normalsize\times\large\frac{4}{3}\normalsize\times\large\frac{25}{2\times10}
\rightarrow x=50 days.
Ans: If the workers dig a canal with a length of 140 meters, breadth of 4 meters, and depth of 2.5 meters while working 8 hours per day, it will take them 50 days to complete the task.