SOLUTION: Viral can do a piece of work in 10 days & Raja in 15days. If both of them work together how long will it take to finish the work? a) 6days b) 5days c) 7days d) 8days

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Question 316087: Viral can do a piece of work in 10 days & Raja in 15days. If both of them
work together how long will it take to finish the work?
a) 6days
b) 5days
c) 7days
d) 8days
Found 2 solutions by nerdybill, mananth:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Viral can do a piece of work in 10 days & Raja in 15days. If both of them
work together how long will it take to finish the work?
a) 6days
b) 5days
c) 7days
d) 8days
.
Let x = time it takes for both
then
x(1/10 + 1/15) = 1
x(15 + 10) = 150
x(25) = 150
x = 6 days

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Viral -10 days 1 job
so he does 1/10 of the job in 1 day.
..
Raja -15 days - 1 job.
so he does 1/15 of the job in 1 day.
..
together they can do 1/10 + 1/15 of the job in 1 day.
LCM 30
3+2 /30
=5/30
=1/6 job they can do in 1 day.
to complete the job they will take 6 days.
Ananth