Book Maths Puzzle Numerical Ability Time and Work

Twenty workers can finish a piece of work in 30 days. After how many days should 5 workers leave the job so that the work is completed in 35 days?
a)5 days
b)10 days
c) 15 days
d) 20 days

Read Solution (Total 1)

total mens' days=20*30=600 days
let 20 men work for 'n' days and left.hence, 20n days
then, 15 men completes the work in (35-n) days.
so, 20n+(35-n)*15=600
or, n=15 days
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Book Other Question

A man persuaded Weary Willie, with some difficulty, to try to work on a job for thirty days at eight dollars a day, on the condition that he would forfeit ten dollars a day for every day that he idled. At the end of the month neither owed the other anything, which entirely convinced Willie of the folly of labor. Can you tell just how many days' work he put in and on how many days he idled? A and B undertake to do a piece of work for Rs.100. A can do it in 5 days and B can do it in 10 day. With the help of C, they finish it in 2 days. How much should C be paid for his contribution?