Question

Q20. For completing a piece of work, the times taken by A and
B, working individually, are 18 days and 32 days more than time
taken by both of them together to complete the work. In how
many days can both the persons complete the work?​

Answer 1

Answer:

FOLLOWING IS THE ANSWER

Step-by-step explanation:

If A completes work in 30 days and B completes the same work in 20 days. If they work together, then in how many day will they complete their work?

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12 days.

A takes 30 days to complete - 1 work

so A takes 1 day to complete - 1/30th of the work

B takes 20 days to complete - 1 work

so B takes 1 day to complete 1/20th of the work

So A and B together do in 1 day - 1/30+ 1/20= 5/60th of the work

if 5/60th of the work is done in - 1 day

Then 1 work is done in - 1/ 5/60 days= 60/5 days=12 days.

So A+B does the work in 12 days.

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Friends…!

A can complete the work in 30 days, thus in one day A can do = 1/30th part of work

B can do this work in 20 days, thus in one day B can do =1/20th part of work

Both A and B work together then they can do part of work

1/30 + 1/20

(2 + 3)/60

= 5/60 part of work

Or 1/12 part of work

If they work together then they can complete the work early. Let they take x days to complete the entire work

1/12 × x days = 1

x/12 = 1

Cross multiplication

x = 1 × 12

x = 12 days

It suggest, that if both A and B work together then they can complete the entire work in 12 days.

Answer: if both A and B work together then they can complete the entire work in 12 days

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