Latest Book Aptitude Question SOLUTION: working together rajeev and vikram can complete a piece of work in 48 days.rajeev can complete the work alone in 64 days. both of them work together for 30 days and then rajeev lef

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(#M40155975) BOOK Numerical Ability question time and work Keep an EYE

working together rajeev and vikram can complete a piece of work in 48 days.rajeev can complete the work alone in 64 days. both of them work together for 30 days and then rajeev left.how long will vikram take to complete the remaining work?

Asked In Book nandhini (8 years ago)

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Devendra Marghade  (8 years ago)

72 days

If Vikram alone can complete the work in 'x' days, then their 1 day work=(1/64)+(1/x)=1/48
1/x=(1/48) -(1/64)=1/92
So 30 days work of Rajeev & Vikram=30*(1/48)=5/8, Remaining work=3/8
Days required for Vikram to complete remaining work=(3/8)/(1/192)=72

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GOPIKA.R  (7 years ago)

This problem can be done using lcm concept
quantity of work to be done=lcm(64,48)=192units
work done by rajeev and vikram=192/48=4units/day
work done by rajeev =192/64=3units/day
so work done by vikram=4-3=1units/day
work done by rajjev and vikram in 30 days=30*4=120units
Remaining work to be done by vikram=12-120=72units
so time taken by vikram to complete 72 units=72/1=72days

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