CAT Question Bank  Time & Work

@rowdyrathore
x takes 4 * 3=12 days to complete the job=> work done in 1 day=1/12
y takes3 * 6=18 days to complete the job=> work done in 1 day=1/18
z takes 5 * 2=10 days to complete the job=> work done in 1 day=1/10
Work done by all of them in 3 days=3*(1/12+1/18+1/10)
=3*(15+10+18)/180
=43/60
work left=17/60
if y takes a days,
work done=a * 1/18=17/60
=>a=(17 * 18)/60
=>a=5.1 days

@rowdyrathore 15 days a alone can do the job.

@rowdyrathore by taking lcm of 14 and 21 we get 
3 units done by a and 2 units done by b
last 3 days b did 3*2= 6 units of work.
a nd b did 426=36 units of work together.
so 36/5=7.2 days by both
total days =7.2+3=10.2 days.

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@rowdyrathore Can you please provide the solution to this question.

@RowdyRathore The correct answer is 58.5.

@RowdyRathore 25 days B can do alone

@RowdyRathore days to complete is 10.2

@RowdyRathore 16.28 minutes

Can you please share the solution?