Question

Express each of the following
as a rational number​

Answer 1

Answer:

your question is incomplete.

Step-by-step explanation:

A, B, and C together can finish a work in 7 days. A and B take 5 days more to complete the same work than that of A and C. B and C together can complete the work in 16 days. In how many days can C alone finish the same work?

A, B, and C together can finish a work in 7 days. A and B take 5 days more to complete the same work than that of A and C. B and C together can complete the work in 16 days. In how many days can C alone finish the same work?

Let a be the rate at which A works, measured in “jobs per day”. I know this is not an intuitive unit of measure, because it takes several days for A to finish a job, but it helps keep the algebra simple, trust me.

Similarly, let b be the rate at which B works, in jobs per day, and let c be the rate at which C works, using the same unit of measure.

From the first sentence of this word problem, 7a+7b+7c=1...(1)

The second sentence gives us (n+5)(a+b)=1...(2)

and n(a+c)=1...(3)

The third sentence gives us 16b+16c=1...(4)

By subtracting 7 times (4) from 16 times (1) we see right away that A’s rate is a=9112.

Then, by plugging a into (2) and (3), we get

(n+5)(9/112+b)=1 and (n)(9/112+c)=1...(5a,5b)

From (4), we see that c=116−b, so our two equations become

(n+5)(9/112+b)=1 and (n)(1/7−b)=1...(5a,5c)

Solving the second equation (5c) for b, b=17−1n, then plugging that value of b into the first equation (5a), and simplifying,

25n2–99n−560=0...(6)

so n=99±65801√50...(7)

Plugging each of these values of n into (5b) and (5c) we get

b=259∓65801√1120...(8)

and c=−189±65801√1120...(9)

So the answer to the question is 1c, or

1120−189±65801−−−−−√

Answer 2

Answer:

where is the question .

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