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# A machine produces 200z units of an item in 10 hours, where z is a

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Senior Manager
Joined: 18 Feb 2019
Posts: 365
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
A machine produces 200z units of an item in 10 hours, where z is a  [#permalink]

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13 Apr 2019, 08:42
00:00

Difficulty:

45% (medium)

Question Stats:

67% (02:23) correct 33% (01:40) wrong based on 9 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
Director
Joined: 18 Jul 2018
Posts: 895
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
A machine produces 200z units of an item in 10 hours, where z is a  [#permalink]

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13 Apr 2019, 08:56
1Machine-------200z---------10hrs.
5Machines------200z---------2hrs.
5Machines------3z------------xhrs.

$$x = \frac{3z*2}{200z}*3600$$ seconds = 108 seconds = 1min 48secs.

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A machine produces 200z units of an item in 10 hours, where z is a   [#permalink] 13 Apr 2019, 08:56
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