Question

14. A can do a work in p days and B can do it in 2p days. They started to do the work together and after some days A left the work unfinished. B completed the rest of the work in r days. In how many days was the work finished?​

Answer 1

Answer:

let x be the days when both A & B worked together.

x (1/p+1/2p)+r(1/2p)=1

(2x+x+r)/2p=1

3x+r=2p

r=2p/x

total days=x+r=x+(2p/x)=(x^2+2p)/

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A can do a work in p days and B can do it in 2p days. They started to do the work together and after some days A left the work unfinished. B completed the rest of the work in r days. In how many days was the work finished?

let x be the days when both A & B worked together.

x (1/p+1/2p)+r(1/2p)=1

(2x+x+r)/2p=1

3x+r=2p

r=2p/x

total days=x+r=x+(2p/x)=(x^2+2p)/x

A and B together can complete a work in 3 days. They start together but after 2 days, B left the work. If the work is completed after two more days, B alone could do the work in how many days?

A & B do work in 12 days, B & C do the same work in 16 days, A & B finish work in 6 days, and A & C will do this in approximately how many days?

A and B can together finish a work in 30 days. They worked together for 20 days and then B left. After another 15 days, A finished the remaining work. In how many days can A alone finish the job?

A and B can together finish a work in 50 days. They worked together for 20 days and then B left. After another 30 days, A finished the remaining work. In how many days can A alone finish the job?

A can do a work in 14 days and B can do the same in 35 days. Starting with A he is assisted by B on alternate days. In how many days will the work be finished?

The job of work is p A-mandays

and is 2p B-mandays

Therefore 2 B-mandays = 1 A-manday

A and B start work together. After x days A leaves

At that stage

x A-mandays and x B-mandays

of work have been completed. This equals

2x B-mandays + x B-mandays = 3x B-mandays. of work so far.

B finishes the work in r days, i.e. r B-mandays

Therefore time for the whole job in B-mandays is (3x + r)

Therefore (3x + r) = 2p

Thus x = (2p – r)/3

Time to complete the whole job is (x + r) man days

= (2p – r)/3 + r days = (2/3) (p + r)

= Two thirds of (p + r) days.

Step-by-step explanation:

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