Time and Work - Arithmetic Aptitude Questions and Answers

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How long will Machine Y, working alone, take to produce x candles?

I. Machine X produces x candles in 5 minutes.

II. Machine X and Machine Y working at the same time produce x candles in 2 minutes.

I alone sufficient while II alone not sufficient to answer

II alone sufficient while I alone not sufficient to answer

Either I or II alone sufficient to answer

Both I and II are not sufficient to answer

Both I and II are necessary to answer

Answer : Option E

Explanation :

I. gives, Machine X produces\( \frac { X } { 2 } \)candles in 1 min

II. gives, Machine X and Y produce\( \frac { X } { 2 } \)candles in 1 min

From I and II, Y produces[\( \frac { X } { 2 } \)-\( \frac { X } { 5} \)]=\( \frac {3 X } { 10 } \)candles in 1 min

\( \frac {3 X } { 10 } \)candles are produced by Y in 1 min

x candles will be produced by Y in[\( \frac { 1 0} { 3X } \)xx]min=\(\frac { 10 } { 3 } \)min