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Word Problems in Multiplication and Division

P and Q can d...

Question

P and Q can do a piece of work in 12 days, Q and R in 15 days,R and P in 20 days. in how many days can R alone can do the same work?

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Solution

P can do a piece of work in p days
The work done by P in 1 day =
Q can do a piece of work in q days
The work done by Q in 1 day =
R can do a piece of work in r days
The work done by R in 1 day =
P and Q together work in 1 day =
…………..(1)
Q and R together work in 1 day =
…………..(2)
P and R together work in 1 day =
…………..(3)
Adding eqn (1) , (2) and (3)
We get 2( )=
=
=
=
= ………………(4)
Subtracting eqn (1) from (4)
We get , ( ) – ( =
= =
Hence, R alone can do a piece of work in 60 days

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