Three persons P, Q and R have assigned a work. P and Q can complete the work in 15 days and Q and R can complete the work in 18 days and all of them can complete the work in 12 days, then find the number of days in which P and R alone can do the work?

P = 36 days, R = 60 days
P = 60 days, R = 36 days
P = 30 days, R = 54 days
P = 15 days, R = 20 days

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 1 : P = 36 days, R = 60 days

P, Q and R can do the whole work in 12 days

P and Q can complete the same work in 15 days

Q and R can complete the same work in 18 days

Let the total work be 180 units (LCM of 12, 15 and 18)

⇒ 1 day work of P and Q = 12 units ----(1)

⇒ 1 day work of Q and R = 10 units ----(2)

⇒ 1 day work of P, Q and R = 15 units ----(3)

From equation 1 and 3,

⇒ R’s 1 day work = 3

From equation 2 and 3,

⇒ P’s 1 day work = 5

∴ P alone can do the whole work in 180/5 = 36 days and R alone can do the work whole in 180/3 = 60 days.

4 views Answered 2022-09-04 04:29

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