# 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

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?

#### 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

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

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#### APPEARS IN

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