If 36 persons are engaged on a piece of work, the work can be completed in 40 days. After 32 days, only 3/4 th of the work was completed. How many more persons are required to complete the work on time?
If 36 persons are engaged on a piece of work, the work can be completed in 40 days. After 32 days, only 3/4 th of the work was completed. How many more persons are required to complete the work on time?
1). 10
2). 8
3). 9
4). 12
2 answers
Remaining work = $\frac{1}{4}$
Remaining time = 8 days
Work done by 36 persons in 1 day = $\frac{1}{40}$
Work done by 1 person in 1 day = $\frac{1}{36 \times 40}$
Let the number of persons required to finish the remaining work be 'x'
$8 \times x \times \frac{1}{36\times40} = \frac{1}{4}$
$x = 45$
Number of additional persons = 45 - 36 = 9
Remaining work = $\frac{1}{4}$
Remaining time = 8 days
Work done by 36 persons in 1 day = $\frac{1}{40}$
Work done by 1 person in 1 day = $\frac{1}{36 \times 40}$
Let the number of persons required to finish the remaining work be 'x'
$8 \times x \times \frac{1}{36\times40} = \frac{1}{4}$
$x = 45$
Number of additional persons = 45 - 36 = 9