Answer: 12 minutes
Step-by-step explanation:
1 hour = 60 minutes
2 people can paint a fence in 60 minutes
If 5 times as many people paint a fence, it will only take 1/5 of the time as it takes 2 people to paint the fence
60 * 1/5 = 12
The time taken by 10 people to paint a fence is 12 minutes.
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Since, work done = Time taken × Rate of work
⇒ Rate of work = 1/ time taken
⇒ Time taken = 1/ rate of work
Since, 1 hour = 60 minutes
According to the given question
2 people can paint a fence in 60 minutes.
⇒ Rate of painting of fence by two people = [tex]\frac{1}{60}[/tex]
⇒ Rate of painting of fence by one people = [tex]\frac{1}{(2)(60)}[/tex]
Therefore, the rate of painting of fence by 10 people = [tex]\frac{1}{(2)(60)}[/tex] × 10 = [tex]\frac{1}{12}[/tex]
⇒ The time taken by 10 people to paint a fence will be 12mins.
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