It would take 4 hours to complete a production order by one machine and another machine take 2 hours to complete the same order. If both machines work simultaneously at their respective constant rates, then the time taken to complete the same order is _____ hours.

7/3

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3/4

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2/3

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4/3

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Solution

The correct option is D
4/3
$M a c h i n e X = 4 h o u r s$

$M a c h i n e Y = 2 h o u r s$

$I n 1 h o u r X c a n w o r k = \frac{1}{4}$

$I n 1 h o u r Y c a n w o r k = \frac{1}{2}$

$I n 1 h o u r (X + Y) c a n w o r k$

$= \frac{1}{4} + \frac{1}{2} = \frac{3}{4}$

$(X + Y) t o g e t h e r = \frac{4}{3} h o u r s$

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It would take 4 hours to complete a production order by one machine and another machine take 2 hours to complete the same order. If both machines work simultaneously at their respective constant rates, then the time taken to complete the same order is _____ hours.

The correct option is D 4/3 Machine X=4 hours Machine Y=2 hours In 1 hour X can work=14 In 1 hour Y can work=12 In 1 hour (X+Y) can work =14+12=34 (X+Y) together=43 hours