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Bunuel
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A machine produces 200z units of an item in 10 hours, where z 12 Jan 2023, 10:00
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68% (02:12) correct 33% (02:15) wrong based on 80 sessions

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A machine produces 200z units of an item in 10 hours, where z is a positive integer. In how much time do 5 such identical machines together produce 3z units of the item?


A. 36 seconds
B. 1 minute 48 seconds
C. 3 minutes
D. 5 minutes 24 seconds
E. 9 minutes
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B
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A machine produces 200z units of an item in 10 hours, where z 12 Jan 2023, 10:06
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Bunuel
A machine produces 200z units of an item in 10 hours, where z is a positive integer. In how much time do 5 such identical machines together produce 3z units of the item?


A. 36 seconds
B. 1 minute 48 seconds
C. 3 minutes
D. 5 minutes 24 seconds
E. 9 minutes
5 machines produce 200z units in 2 hours
1z in 2hrs/200z
3z in 2hrs*3z/200z = 2*60*60*3/200 secs = 108 sec = 1 minute and 48 secs

Answer B.
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A machine produces 200z units of an item in 10 hours, where z 12 Jan 2023, 13:02
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Bunuel
A machine produces 200z units of an item in 10 hours, where z is a positive integer. In how much time do 5 such identical machines together produce 3z units of the item?


A. 36 seconds
B. 1 minute 48 seconds
C. 3 minutes
D. 5 minutes 24 seconds
E. 9 minutes

If a machine produces 200z units in 10 hours

It produces 10/200 units in one hour

To produce 3z units one machine will take three times the time = 1/20 * 3 hours

However if we have 5 such machines, it will take 1/5th the time = \(\frac{1}{5} * \frac{1}{20 }* 3\) hours

= 3/100 * 60 * 60 seconds = 108 seconds

= 1 min 48 sec

Option B
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A machine produces 200z units of an item in 10 hours, where z 21 Feb 2023, 13:00
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Using Work Rate Concept here, i.e. - W=RT ( Where W= Work, R= Rate, T = Time).

i.e. 200z units = Rate of Machine/ hour * 10 hours ==> Rate of Machine = 200z/10 = 20z units per hour.

With the above mentioned logic, 5 machines would produce = 5*20z = 100z units per hour. ==> 3z units can be produced in 108seconds = 1 Min 48 Sec

Option B.
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