Rajiv can do a piece of work in 10 days , venky in 12 days and ravi in 15 days. they all start the work together, but rajiv leaves after 2 days and venky leaves 3 days before the work is completed. in how many days is the work completed ?

Rajiv can do a piece of work in 10 days , venky in 12 days and ravi in

1.	Rajiv can do a piece of work in 10 days , venky in 12 days and ravi in 15 days. they all start the work together, but rajiv leaves after 2 days and venky leaves 3 days before the work is completed. in how many days is the work completed ?
Answer» TOTAL work=lcm of 10,12,15=180 rajiv 1 day work=180/10=18 venky 1 day work=180/12=15 ravi 1 day work=180/15=12 all three 1 day work=18+15+12=4let X be the DAYS to completion of work rajiv WORKING day=2 venky working days=x-3 ravi working days=x now,18×2+15(x-3)+12x=180 36+15x-45+12x=180 27x-9=180 x=189/27=7 days

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Rajiv can do a piece of work in 10 days , venky in 12 days and ravi in 15 days. they all start the work together, but rajiv leaves after 2 days and venky leaves 3 days before the work is completed. in how many days is the work completed ?

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