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Elena L [17]
2 years ago
5

Rachel can finish the job in 5 hours, while Carl can finish the same job in 8 hours. How long will it take them to finish the jo

b together?
Mathematics
2 answers:
Ivan2 years ago
8 0

Answer:

3.08 hours

Step-by-step explanation:

Rachel can finish the job in 5 hours.

Part of work done be Rachel in one hour = 1/5

Carl can finish the same job in 8 hours.

Part of work done be Carl in one hour = 1/8

Let together they can finish the work in x hours.

Part of work done they in one hour = 1/x

\dfrac{1}{5}+\dfrac{1}{8}=\dfrac{1}{x}

\dfrac{8+5}{40}=\dfrac{1}{x}

\dfrac{13}{40}=\dfrac{1}{x}

On reciprocal, we get

\dfrac{40}{13}=x

x=3.076923

x\approx 3.08

Therefore, they will finish the job together in 3.08 hours.

liraira [26]2 years ago
3 0

Answer:

1/5+1/10=1/x

(2+1)/10=1/x

3/10=1/x

3*x=10

x=10/3

x=3.333

In 3.333 hours

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