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BTGmoderatorLU
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At Supersonic Corporation, the time required for a machine to complete a job is determined by the formula: $$t=\sqrt{w}+\sqrt{\left(w-1\right)}$$ where w = the weight of the machine in pounds and t = the hours required to complete the job. If machine A weighs 8 pounds, and machine B weighs 7 pounds, how many hours will it take the two machines to finish one job if they work together?
$$A.\ \frac{6}{7-\sqrt{3}}$$
$$B.\ \frac{1}{2}\left(\sqrt{8}+\sqrt{6}\right)$$
$$C.\ \frac{1}{3}\left(6-\sqrt{3}\right)$$
$$D.\ 3\left(\sqrt{3}+\sqrt{2}\right)$$
$$E.\ \sqrt{8}+2\sqrt{7}+\sqrt{6}$$
The OA is B.
In this case, I just need to do the following,
Can I say that the total time will be, Time of machine A + time of machine B, right?
Then,
$$T_A=\sqrt{8}+\sqrt{8-1}=\sqrt{8}+\sqrt{7}$$
And
$$T_B=\sqrt{7}+\sqrt{7-1}=\sqrt{7}+\sqrt{6}$$
Finally,
$$T_{total}=\left(\sqrt{8}+\sqrt{7}\right)+\left(\sqrt{7}+\sqrt{6}\right)=\sqrt{8}+2\sqrt{7}+\sqrt{6}$$
But, how can I get the combined time?
I'm really confused by this PS question. Experts, any suggestion? Thanks in advance.
$$A.\ \frac{6}{7-\sqrt{3}}$$
$$B.\ \frac{1}{2}\left(\sqrt{8}+\sqrt{6}\right)$$
$$C.\ \frac{1}{3}\left(6-\sqrt{3}\right)$$
$$D.\ 3\left(\sqrt{3}+\sqrt{2}\right)$$
$$E.\ \sqrt{8}+2\sqrt{7}+\sqrt{6}$$
The OA is B.
In this case, I just need to do the following,
Can I say that the total time will be, Time of machine A + time of machine B, right?
Then,
$$T_A=\sqrt{8}+\sqrt{8-1}=\sqrt{8}+\sqrt{7}$$
And
$$T_B=\sqrt{7}+\sqrt{7-1}=\sqrt{7}+\sqrt{6}$$
Finally,
$$T_{total}=\left(\sqrt{8}+\sqrt{7}\right)+\left(\sqrt{7}+\sqrt{6}\right)=\sqrt{8}+2\sqrt{7}+\sqrt{6}$$
But, how can I get the combined time?
I'm really confused by this PS question. Experts, any suggestion? Thanks in advance.
