What does a work in 10 days and B does the same work in 15 days in how many days they together will do the same work?

What does a work in 10 days and B does the same work in 15 days in how many days they together will do the same work?

What does a work in 10 days and B does the same work in 15 days in how many days they together will do the same work?
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What does a work in 10 days and B does the same work in 15 days in how many days they together will do the same work?

Answer:

Solution:

A and B together can do a work in 10 days

And B can do the same work in 15 days

A and B’s one day’s work = \frac{1}{10}

And B’s one day’s work = \frac{1}{15}

∴ A’s one day’s work = \frac{1}{10}-\frac{1}{15}=\frac{3-2}{30}=\frac{1}{30}

Hence A can do the same work in = 30 days

Video transcript

"Hello, we are going to see a and b word. Sing together can do a piece of our skin changes and be around can do the same work as you can is okay. We're going to see a and be working together can do a piece of Arcane changes and be around can do the same against the skin is how many days how many days long will a loan take to do the same work then you can do in 10 days. And we can do in engage. So a work is one day is 1 by 10 and B work for one day is won by 15 and then over here before question. So 1 by 10 minus 1 by 50 as Abby is not there now a egg is only going to the one doing the be 1 by 30 K. So it requires 30 days to complete the same word by a alone through the whole work the same whole, but I hope you guys have understood the video. Thanks for watching this video."

What does a work in 10 days and B does the same work in 15 days in how many days they together will do the same work?
What does a work in 10 days and B does the same work in 15 days in how many days they together will do the same work?

What does a work in 10 days and B does the same work in 15 days in how many days they together will do the same work?

Free

150 Questions 150 Marks 90 Mins

Given:

A does a work = 10 days

B does the same work = 15 days

Concept used:

Firstly we will find 1 day work of both A and B, then by adding we can get collective days from them,

Calculation:

According to the question;

A's 1 day work = 1/10

B's 1 day work = 1/15

(A + B)'s 1 day work = 1/10 + 1/15

⇒ (3 + 2)/30 = 5/30 = 1/6 

∴ They together will do the same work in 6 days.

What does a work in 10 days and B does the same work in 15 days in how many days they together will do the same work?
Shortcut Trick

 (A + B)'s  together same work = (A × B)/(B + A)

⇒ (10 × 15)/(15 + 10) = 150/25 = 6

∴ They together will do the same work in 6 days.

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