Machines A and B always operate independently and at their respective constant rates. When working alone, machine A can fill a production lot in 5 hours, and machine B can fill the same lot in x hours. When the two machines operate simultaneously to fill the production lot, it takes them 2 hours to complete the job. What is the value of x ?

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Solution

The correct option is A
Machine A efficiency = $\frac{1}{5}$ per hour ;
Machine B efficiency = $\frac{1}{x}$ per hour ;
When working together, efficiency = $(\frac{1}{5} + \frac{1}{x});$
Given $(\frac{1}{5} + \frac{1}{x}) \times 2 = 1$
$5 x = 10 + 2 x; x = \frac{10}{3}$

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The correct option is A Machine A efficiency = 15 per hour ; Machine B efficiency = 1x per hour ; When working together, efficiency = (15+1x); Given (15+1x)×2=1 5x=10+2x;x=103

The correct option is A
Machine A efficiency = $\frac{1}{5}$ per hour ;
Machine B efficiency = $\frac{1}{x}$ per hour ;
When working together, efficiency = $(\frac{1}{5} + \frac{1}{x});$
Given $(\frac{1}{5} + \frac{1}{x}) \times 2 = 1$
$5 x = 10 + 2 x; x = \frac{10}{3}$