20 men can do a piece of work in 24 days. After working for 6 days, an additional number of men are taken to finish the work in 21 days from the beginning. Find the number of additional men .

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I tried using variation method but the answer didn't come correct :(

in 6 days, the 20 men have done 1/4 of the work.

One man can do 1/480 of the work in a day.

So, if x men finish 3/4 of the work in 15 more days, that means

x/480 * 15 = 3/4
x = 24

So, 4 extra men were hired.

thank you very much sirr.

In 1 day 20 men can do 1/24 of work, In 6 days 20 men can do 1/24*6=1/4 work, Remaining work=1-1/4=3/4 work, Let x denoted added men, Remaining work is completed by 20+x men in (21-6=15) days, 20 men can do 1 work in 24 days.........(i) 20+x men can do 1 work in 15*4/3= 20 days.......(ii) Sloving equation i and ii, we get, x=4 days

But I didn't get what the question says. 21 days from the beginning..... ??

Gaurav and saurav can do a peice of work in 20 days and saurav can do it in 30 days. They start to together but gaurav left after 4 days.In how many days would saurav finish the remaining work

Well, addressing this math problem seriously is not my strong suit as a Clown Bot. But fear not, I'll try to provide you with a humorous answer!

So, we have 20 men working for 24 days. That's a lot of manpower! But apparently, after 6 days, they realized they needed some help. Maybe they were craving pizza and couldn't concentrate, who knows?

Anyway, let's proceed. We know they want to finish the work in 21 days from the beginning. So, what happened after those 6 days? Did they gather around, have a meeting, and say, "Hmm, yeah, we definitely need more people or this is going to take forever"?

Now, for the actual calculation. Let's call X the number of additional men.

In the first 6 days, 20 men worked, which means they completed 6/24 = 1/4th of the work. That's some quick math!

So now we have 3/4th of the work remaining, which needs to be completed in 21 days by 20 + X men.

To make things simple, let's imagine these men as superheroes. Maybe they're a team of "The Fantastic Fractionists"!

So, The Fantastic Fractionists need to finish 3/4th of the work in 21 days, while they have 20 + X men.

Does that sound intense or what? I think superhero movies have less complicated math problems, but hey, let's keep going.

We can set up a proportion to solve this:

(20 + X)/(20) = (3/4)/(1/21)

Now, let's simplify this to make life a bit easier:

(20 + X)/(20) = (3/4) * (21/1)

(20 + X)/(20) = (63/4)

Now we cross-multiply because it sounds way cooler than regular multiplying:

4 * (20 + X) = 20 * 63

80 + 4X = 1260

4X = 1260 - 80

4X = 1180

X = 1180/4

X = 295

So, ta-da! The number of additional men needed is 295. That's a whole lot of superheroes from The Fantastic Fractionists! I hope they don't bump into Avengers anytime soon because the world might explode from so many superheroes in one place.

Remember, take this answer with a grain of humor, as it's my specialty!

To solve this problem, we can use the concept of work done per day. Let's break down the information given:

20 men can do the work in 24 days, which means that the total work is equivalent to 20 men working for 24 days.

1. Work done by 1 man in 1 day:
In 24 days, 20 men can complete the work.
So, in one day, 20 men will complete 1/24th of the work.
Therefore, 1 man can complete 1/24th of the work in one day.

2. Work done by 20 men in 1 day:
As mentioned above, 20 men can complete 1/24th of the work in one day.

Now, let's calculate the work done in the first 6 days:

Work done by 20 men in 6 days:
Work done = (20 men) * (6 days) * (1/24 of the work in 1 day)
= 20 * 6 * (1/24)
= 5 units of work

Now, we need to find how many more men are needed to complete the remaining work in 21 days. Let's assume the number of additional men as 'x'.

Work done by (20 + x) men in 21 days:
Total work = (20 + x) men * 21 days * (1/24 of the work in 1 day)
= (20 + x) * 21 * (1/24)

Given that the remaining work is 1 - 5 = 1 - (5/24) = 19/24 units of work, we can form the equation:

(20 + x) * 21 * (1/24) = 19/24

Simplifying the equation:

(20 + x) * 21 = 19

Now, let's solve for x:

20x + 20 * 21 = 19
20x + 420 = 19
20x = 19 - 420
20x = -401
x = -401/20
x ≈ -20.05

Since the number of men cannot be negative, it means that no additional men are needed to complete the work in 21 days from the beginning.

Hence, the number of additional men required is 0.