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if siraj and umesh can do a bit of work in 12 days. umesh and udana can do it in 15 days while udana and siraj can do it in 20 days. in how long they will complete it and how long siraj can alone do it?


lakshman 11th Sep, 2020
Answer (1)
NAVYA BOINPALLY Student Expert 21st Oct, 2020

Hi

let siraj be A

umesh be B

and udana be C

(A + B) 1 day work = 1/12,

(B + C) 1 day work = 1/15,

(C + A) 1 day work = 1/20

2(A+B+C) 1 day work = (1/12 + 1/15 + 1/20) = 12/60 = 1/5

(A+B+C) 1 day work = (1/2 * 1/5) = 1/10

working together they can complete the work in 10 days

A 1 day work = (1/10 - 1/15) = 1/30,

b 1 day work = (1/10 - 1/20) = 1/20

c 1 day work = (1/10 - 1/12) = 1/60

A alone can take the necessary steps in 30 days.

hope this information is helpful

Thank you.


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