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  • A and B together complete a work in 36 days, B and C together completes in 48 days, and A and C completes in 72 days. How long would each take to do the job?Opti

A and B together complete a work in 36 days, B and C together completes in 48 days, and A and C completes in 72 days. How long would each take to do the job?

Option: 1

288 days.


Option: 2

280 days.


Option: 3

285 days.


Option: 4

240 days.


Answers (1)

best_answer

A+B work in 1 day = 1/36…………..(1)

B+C work in 1 day = 1/48…………..(2)

A+C work in 1 day = 1/72…………..(3)    Adding (1)+(2)+(3), we get

2 (A+B+C)’s 1 day work = 1/36+1/48+1/72 = 9/144 = 1/ 16

And hence (A+B+C)’s 1 day work = 1/ 32

Now 1 day work of A = 1/32-1/48 =1/96 therefore A completes the work in 96 days.

Now 1 day work of B = 1/32-1/72 =5/288 therefore A completes the work in 288/5 days.

Now 1 day work of C = 1/32-1/36 =1/288 therefore A completes the work in 288 days.

 

Posted by

Pankaj Sanodiya

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