Question

P and Q can do a piece of work in 32 and 40 days

Q: Answer-P and Q can do a piece of work in 32 and 40 days respectively. They began to work together but P lea...

Let P worked for x days According to question rArr x32x1640 1 rArr 5x4x16160 1 rArr 5 x 4x 64 160 rArr 9x 160 ndash 64 96 rArr x969323 days P left the work after 323 days. Alternate Method P Q 32 40 LCM 160 units 5 4 For last 16 days, Q alone completed 4 x 16 64 units So remaining is done by both 160 -6454 969 323 days Hence P left after 323 days.

respectively. They began to work together but P leaves after sometimes and Q completed remaining work in 16 days. After how many days did P leaves (in days)?

A 32/5

B 31/3

C 32/3

D 80/3

E None of these

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