p and q can build a wall in 20 days .they work together for 8 days and then P leaves. how long will q take to complete the work if he can build the wall alone in 30 days?
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P and Q can build a wall in 20 days
Amount of work done by P and Q in 1 day = 1 / 20 part
They work together for 8 days
Amount of work done by P and Q in 8 days = 8 × (1 / 20) = 8 / 20 = 2 / 5 part
Remaining work =[ 1 – 2 / 5 ]= 3 / 5 part
Q can build the wall alone in 30 days?
Now, 1 / 30 work is done by Q in 1 day.
Therefore 3 / 5 work is done by Q in ( 3 / 5 x 30 ) = 18 days. ANS
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amount of work done by P and Q in 1 day = 1/20
amount of work done by P and Q in 8 days = 8 ×(1/20)= 8/20 = 2/5
work left =1 – 2/5 = 3/5
so 1 /30 work is done by Q in 1 day.
⇒ 3/5 work is done by Q in ( 3 /5 x 30) = 18 days.
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