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In the same amount of time a new production assembly robot can assembl 12 Feb 2018, 00:40
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69% (02:03) correct 31% (02:05) wrong based on 284 sessions

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In the same amount of time a new production assembly robot can assemble 8 times as many transmissions as an old assembly line. If the new robot can assemble x transmissions per hour, how many transmissions can the new robot and the old assembly line produce together in five days of round-the-clock production?

(A) 45x/8
(B) 15x
(C) 135x/8
(D) 135x
(E) 1080x
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D
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In the same amount of time a new production assembly robot can assembl 12 Feb 2018, 01:06
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Bunuel
In the same amount of time a new production assembly robot can assemble 8 times as many transmissions as an old assembly line. If the new robot can assemble x transmissions per hour, how many transmissions can the new robot and the old assembly line produce together in five days of round-the-clock production?

(A) 45x/8
(B) 15x
(C) 135x/8
(D) 135x
(E) 1080x
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Since the new robot assembles x transmission/hr, the old robot will assemble \(\frac{x}{8}\) transmission/hr
The total transmissions both the robots assemble are \(\frac{9x}{8}\) transmissions in an hour.
In a day, the total transmissions will be \(\frac{9x}{8}*24 = 27x\)


Therefore, in 5 days, the robots will assemble \(5*27x = 135x\) transmissions(Option D)
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In the same amount of time a new production assembly robot can assembl 13 Feb 2018, 02:50
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Bunuel
In the same amount of time a new production assembly robot can assemble 8 times as many transmissions as an old assembly line. If the new robot can assemble x transmissions per hour, how many transmissions can the new robot and the old assembly line produce together in five days of round-the-clock production?

(A) 45x/8
(B) 15x
(C) 135x/8
(D) 135x
(E) 1080x
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Round the clock means 24 hrs

Total Amount = Amount produced by new line + Amount produced by old line

\(Total = (x) (5) (24) + \frac{x}{8} (5) (24)\)

\(Total = (x) (5) (24) [1 + \frac{1}{8} ]\)

\(Total = (x) (5) (24) \frac{9}{8}\)

\(Total = 135x\)

Answer: D
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In the same amount of time a new production assembly robot can assembl 13 Feb 2018, 08:36
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Bunuel
In the same amount of time a new production assembly robot can assemble 8 times as many transmissions as an old assembly line. If the new robot can assemble x transmissions per hour, how many transmissions can the new robot and the old assembly line produce together in five days of round-the-clock production?

(A) 45x/8
(B) 15x
(C) 135x/8
(D) 135x
(E) 1080x
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Answer must be (D)
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In the same amount of time a new production assembly robot can assembl 13 Feb 2018, 11:26
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Bunuel
In the same amount of time a new production assembly robot can assemble 8 times as many transmissions as an old assembly line. If the new robot can assemble x transmissions per hour, how many transmissions can the new robot and the old assembly line produce together in five days of round-the-clock production?

(A) 45x/8
(B) 15x
(C) 135x/8
(D) 135x
(E) 1080x
Show more
R * T = W

Robot's rate: \(\frac{x}{hour} =\\
x\) (time is in hours)
Old assembly line's rate: \(\frac{1}{8}x\)

Time for both: 24 hrs/day * 5 days = 120 hrs

W = R * T
Work done by old: \(\frac{1}{8}x*120 =\\
15x\)
Work done by new: \(x*120 =\\
120x\)

Work completed by both: 15x + 120x = 135x

Answer D

Assign values
This method often makes things easier. Here, maybe not, unless you understand the process (but can't quite get the equations). If robot's rate = 8, answer choices make solving easy.

Let robot's rate = 8 units (per hour), so
Old assembly line rate = 1 unit (per hour)

Both work 24 hours * 5 days = 120 hours

W = R * T
Old line completes (1*120) = 120 units
Robot completes (8*120) = 960 units

Total units: 120 + 960 = 1,020 units

With x = 8, find answer choice that yields 1,080

Immediately eliminate (A) 45x/8 and (C) 135x/8. x=8 "cancels" denominator (results are 45 and 135)

Immediately eliminate (B) 15x, much too small, and (E) 1080x, much too great

Answer (D) 135x, by POE.
Check: 135*8 = 1,080. MATCH

Answer D
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In the same amount of time a new production assembly robot can assembl 13 Feb 2018, 18:25
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Bunuel
In the same amount of time a new production assembly robot can assemble 8 times as many transmissions as an old assembly line. If the new robot can assemble x transmissions per hour, how many transmissions can the new robot and the old assembly line produce together in five days of round-the-clock production?

(A) 45x/8
(B) 15x
(C) 135x/8
(D) 135x
(E) 1080x
Show more

If the new robot can assemble x transmissions per hour, the old assembly line can assemble x/8 transmissions per hour.

So the combined rate is x + x/8 = 8x/8 + x/8 = 9x/8,

So in five days, or 24 * 5 = 120 hours, the number of transmissions produced is 9x/8 * 120 = 135x.

Answer: D
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In the same amount of time a new production assembly robot can assembl 16 Sep 2024, 05:04
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