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algol [13]
3 years ago
5

A and B can separately do a piece of work in 24 days and 16 days respectively. They worked together for 6 days, after which B wa

s replaced by C. If the work was finished in next 3 days, then the number of days in which C alone could do the work will be?
Mathematics
1 answer:
Dominik [7]3 years ago
7 0

Answer:     C can complete the work in 12 days.

Step-by-step explanation:

Alright, lets get started.

Given that, A and B can separately do a piece of work in 24 days and 16 days respectively.

It means, in 1 day, A can complete the part of work : \frac{1}{24}

It means, in 1 day, B can complete the part of work : \frac{1}{16}

As they both worked together for 6 days,

in 6 days, A can complete the part of work : 6*\frac{1}{24}=\frac{1}{4}

in 6 days, B can complete the part of work : 6*\frac{1}{16}=\frac{3}{8}

So, together they had completed the work : \frac{1}{4}+\frac{3}{8}=\frac{5}{8}

So remaining work will be : 1-\frac{5}{8}

So remaining work will be : \frac{3}{8}

Now this remaining work is done by A and C together.

Suppose C alone can do this work in C days.

So in 3 days, A and C completed the rest work  :

3 \times(\frac{1}{24}+\frac{1}{C})=\frac{3}{8}

\frac{1}{24}+\frac{1}{C}=\frac{1}{8}

\frac{1}{C}=\frac{1}{8}-\frac{1}{24}

\frac{1}{C}=\frac{1}{12}

C=12

Hence C can complete the work in 12 days.   :  Answer

Hope it will help :)

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aleksklad [387]
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a prime number  0.5 out of 10: 5 and out of 100:- 50

multipl of 3:- 0/33  out of 10:- 3.3 and out of 100: 33
4 0
3 years ago
Place decimal points in 34, 4, and 417 so that the sum of the three numbers is 7.97.
KIM [24]
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8 0
3 years ago
In investing $6,200 of a couple's money, a financial planner put some of it into a savings account paying 4% annual simple inter
ddd [48]

Answer:

$ 2,600 was invested at 4% and $ 3,600 was invested at 9%.

Step-by-step explanation:

Given that in investing $ 6,200 of a couple's money, a financial planner put some of it into a savings account paying 4% annual simple interest, and the rest was invested in a riskier mini-mall development plan paying 9% annual simple interest, and the combined interest earned for the first year was $ 428, to determine how much money was invested at each rate, the following calculation must be performed:

3000 x 0.04 + 3200 x 0.09 = 408

2500 x 0.04 + 3700 x 0.09 = 433

2600 x 0.04 + 3600 x 0.09 = 428

Therefore, $ 2,600 was invested at 4% and $ 3,600 was invested at 9%.

7 0
3 years ago
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liubo4ka [24]

Answer:

For an equal number of servings,the bananas will have three times as much sugar.

Step-by-step explanation:

If you would like me to explain how I got this answer, tell me in the comments

3 0
3 years ago
Can anyone help me with this, I’ll give out brainliest. NO LINKS.
Sliva [168]

Answer:

89.132 inch

Step-by-step explanation:

“this shape is made up of one half-circle attached to a square with side lengths 16 inches. You can use 3.14 as an approximation.”

so, the square has a perimeter of 16 inch, four sides that will be 64 inch

then the half circle rule of perimeter of half circle: πr + 2r

=> perimeter of semicircle = π * 8 +2 * 8 = 41.132 inch

<em>without the bottom line of half circle= 41.132 -16 = 25.133 inch</em>

<em />

So total 25.133 + 64 =89.132 inch

have a great day and nc question

4 0
2 years ago
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