Answer in Brief

Three spraying machines working together can finish painting a house in 60 minutes. How long will it take for 5 machines of the same capacity to do the same job?

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#### Solution

Let the time taken by 5 spraying machines to finish a painting job be* x* minutes.

Number of machines | 3 | 5 |

Time (in minutes) | 60 | x |

\[\text{ Since the number of spraying machines and the time taken by them to finish a painting job are in inverse variation, we have } : \]

\[3 \times 60 = 5 \times x\]

\[ \Rightarrow 180 = 5x\]

\[ \Rightarrow x = \frac{180}{5}\]

\[ = 36\]

\[\text{ Thus, the required time will be 36 minutes } .\]

Concept: Concept of Inverse Proportion

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