Answer to Question #143594 in Algebra for Toussaint

Question

If 5 machine makes 600 part in 2.3hours. How many hours it will take 2 machine to make 600 part

Answer 1

$\begin{aligned} 5\textsf{ machines} &= \frac{600}{2.3}\textsf{ parts per hour}\\ &= 260.87\textsf{ parts per hour}\\ \\ 2\textsf{ machines} &= x \end{aligned}$

Cross-multiplying, we have;

$\begin{aligned}x = \frac{2}{5} × 260.87 = 104.35\textsf{ parts per hour} \end{aligned}$

$\begin{aligned} \textsf{number of hours} &= \textsf{parts} ÷ \textsf{parts per hour}\\ &= \dfrac{600}{104.35}\\ &= 5.75\ hours \end{aligned}$

$\therefore$ It will take 2 machines 5.75 hours (5 hours 45 minutes) to make 600 part.