X and y can complete a job sheet in 40 and 60 days . After working together for 8 days x leaves what is the work time in which the work is completed
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Answer:
40 days
Step-by-step explanation:
work done by X in 40 days be = 1(full project)
work done by X in 1 day = 1/40 (part of project)
work done by Y in 60 days be = 1(full project)
work done by Y in 1 day = 1/60 (part of project)
now,
8/40 + 8/60 = work done in 8 days
= 8(3+2/120)
= 8 x 5/120
= 1/3( part of the work)
remaining work
= 1 - 1/3
= 2/3
let a be days remaining work is completed
a/60 = 2/3
a = 60 x 2/3
a = 40 days
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