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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? - Mathematics

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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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

\[\text{ Since the number of spraying machines and the time taken by them to finish a painting job are in inverse variation, we have } : \]
\[3 \times 60 = 5 \times x\]
\[ \Rightarrow 180 = 5x\]
\[ \Rightarrow x = \frac{180}{5}\]
\[ = 36\]
\[\text{ Thus, the required time will be 36 minutes }  .\]

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RD Sharma Class 8 Maths
Chapter 10 Direct and Inverse Variations
Exercise 10.2 | Q 12 | Page 13
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