Transmitting data at the same constant rate, 12 identical cables can t

Question

Transmitting data at the same constant rate, 12 identical cables can transmit x bits of digital information per minute. How many bits of information can be transmitted by 27 such cables in 25 seconds?

A. 15x/16
B. 16x/15
C. 45x/4
D. 225x/16
E. 225x/4

yashikaaggarwal · Answer

Let X be 24
12 cables transmit 24 bits data /min
1 cable transmit 2 bits data/min
27 will transfer = 27*2=54/min
54 bits = per min 
54 bits = 60 seconds.
Y bits in 25 seconds.
Y=54*25/60 => 22.5

Putting value of X in options.
A. 15x/16 => 15*24/16 = 22.5 (answer)
B. 16x/15 => 16*24/15 = 25.6 (not matching)
C. 45x/4 => 45*24/4 = 270 (not matching)
D. 225x/16 => 225*24/16 = 337.5 (not matching)
E. 225x/4 => 225*24/4 = 1350(not matching)

Answer should be A

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Archit3110 · Answer

from given info
use m1*t1/w1 = m2*t2/w2
equate let x = 1
12*1/1 = 27*25/60*a
solve for a = 27*25/12*60 ; 15/16
OPTION A

hacorus · Answer

Here is my reasoning on the online whiteboard:

27/12=9/4
60/25=2.4
bits transferred: x/2.4 = 5x/12
5x/12 * 9/4 = 5x/(3*4) * (3*3)/4 = 15x/16

Solution A 15/16

anupam87 · Answer

27 identical cables will transmit more bits and in 27 seconds it will transmit lesser number of bits than what it can transmit in 60 seconds.

therefore, bits transmitted = x*(27/12)*(26/60) = 15x/16

Answer A.

ScottTargetTestPrep · Answer

Solution:

The rate of 12 cables is x, so, we can create the proportion to determine the rate of 27 cables per minute:

12/x = 27/n

12n = 27x

n = 27x/12 = 9x/4

The rate of 27 cables per minute is 9x/4. We must determine the rate in 25 seconds, which is 25/60 minute. Thus, the 27 cables can transmit 9x/4 * 25/60 = 9x/4 * 5/12 = 45x/48 = 15x/16 of data.

Answer: A

HouseStark · Answer

Rate of transfer of bits per 1 wire in 1 second

=  \frac{X}{12*60}

now, transfer of bits in 27 cables in 25 seconds

= \frac{X}{12*60} *27*25

= \frac{15X}{16}

Ans A

Abhishek009 · Answer

12 identical cables can transmit x bits of digital information per minute.

12 identical cables can transmit x bits of digital information per 60 seconds.

1 cable can transmit x/12*60 bits of digital information per second.

27 cable can transmit 27x/12*60 bits of digital information per second.

27 cable can transmit 27x*25/12*60 = 15x/16 bits of digital information in 25 Seconds, Answer will be (A)

Transmitting data at the same constant rate, 12 identical cables can t

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Transmitting data at the same constant rate, 12 identical cables can t

Prep Toolkit

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