Sign in
ui-button
ui-button
Unitary Method Questions and answers
Aptitude
Unitary Method
Topics
General Knowledge
General Science
General English
Aptitude
General Computer Science
General Intellingence and Reasoning
Current Affairs
Exams
Elementary Mathematics
English Literature
Aptitude
Compound interest
Boat and Stream
Trains
Percentage
Discount
Mixture and Allegation
Unitary Method
Work and Wages
Pipes and Cisterns
Linear Equations
Approximation
Word problems
Number System
Time and Distance
Average
Ratio and Proportions
Profit and Loss
Partnership
Permutation and combination
Probability
Problem on ages
Time and work
Simple and compound interest
Mensuration
Number series
31). 40 men complete one-third of a work in 40 days. How many more men should be employed to finish the rest of the work in 50 more days?
A). 12
B). 20
C). 18
D). 24
View Answer
Correct Answer:
24
Work done = \( \Large \frac{1}{3} \)
Remaining work = \( \Large \left(1-\frac{1}{3}\right)= \left(\frac{3-1}{3}\right)=\frac{2}{3} \)
Let the number of more men to be employed be x.
More work, More men (Direct proportion)
More days, Less men (Indirect proportion)
Work \( \Large \frac{1}{3} \) : \( \Large \frac{2}{3} \)
:: 40 : (40+x)
Days 50 : 40
Therefore,
\( \Large \frac{1}{3} \times 50 \times \left(40+x\right) = \frac{2}{3} \times 40 \times 40 \)
\( \Large 5 \times \left(40+x\right) = 2 \times 40 \times 4 \)
200 + 5x = 320
5x = 320 - 200 = 120
Therefore, x = \( \Large \frac{120}{5} \) = 24
Therefore, Required number of men = 24
View Comments
Report Error
Report error with gmail
Hide
Prev
1
2
3
4
Go to :
--Select Page --
1
--Select Page --
1
Total Pages : 4
Login to Bookmark this page
Add Bookmark
View My Bookmarks