Question

all of the members of our spray-painting team paint at the same speed. if $5$ team members can paint a certain wall in $27$ minutes, then how many minutes would it take $15$ of our team members to paint the same wall?

Answer 1

Answer: 9 min

Step-by-step explanation:

Since team members: minutes are inversely proportional, you can use x = k/y to solve.

27 = k/5 (multiply by 5 for each side)

135 = k

Using this, you can see. that 135/15 = 9 minutes

Answer 2

If all the members pain at the same speed, then 15 members of the team will take 9 minutes to paint the wall.

The speed of all the members of the spray painting team is exactly the same.

5 members can paint a wall in 27 minutes.

Now, 15 members are painting the same wall.

Then the increase in man power is:

15 / 5 = 3 times more than before.

Since there is an increase in man power, therefore the time taken to paint the wall will also decrease by the same factor.

Therefore,

The time taken by 15 members to paint the wall will be:

Time = 27 / 3

Time = 9 minutes

Hence, 15 members will take 9 minutes to paint the wall.

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