Math, asked by heavenabarabar3, 17 days ago

Eight men can do a job in 60 days, how long will it take for 5 men to do the same job.​

Answers

Answered by fahims8080
1

Answer:

37.5 Days

Step-by-step explanation:

According to the information provided in the question it is given as

8 Men = 60 days

We need to find the number of days  for doing the job with 5 men for same job

A proportion is a statement that two ratios are equal. ... In a proportion, the product of the means equals the product of the extremes. That is, if a/b = c/d (where b 0 and d 0), then a d = b c.

Let us assume  x is the number of days for 5 men

We simply solve this problem by cross multiplication

8 = 60

5 = x

8 x = 60\times 5\\8 x= 300\\x= \frac{300}{8} \\x=37.5

Hence it takes  37.5 days required to do the work by 5 men

Answered by AnanyaBaalveer
5

Answer-

96 days

Step-by-step explanation:-

According to the question the information is given as

\large\boxed{\sf{8 \: men = 60 \: days}}

We need to find that in how many days5 men will do the same work.

\large\boxed{\sf{5 \: men = x \: days}}

With the help of the given question we can see that it is in indirect proportion.

Now, let's learn what is indirect proportion.

In simple words, Indirect proportion means that when one unit increase(decrease) the other unit decease(increase) and vice-versa.

So, in this question when the number of men are 8 then they take 60 days.

Hence, lesser the men more the days will ne required.

\large\underline{\sf{Solution \rightarrow}}

\large{\sf{  \implies\frac{8}{5}  =  \frac{60}{y} }}

As the given is inversely proportional we will inverse the fractions part of variable.

\large{\sf{ \implies \frac{8}{5} =  \frac{y}{60}  }}

On cross multiplying we get

\large\underline{\sf{ \implies60 \times 8 = 5y}}

On further cross multiplying we get

\large{\sf{  \implies\frac{8 \times 60}{5}  = y}}

\large{\sf{ \implies8 \times 12 = y}}

\large\red{\sf{ \implies96 \: days}}

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