On our spray painting team, it take 48 minutes to paint a 8000 square foot wall.
Given that,
On our spray painting team, everyone works at the same pace.
We have to find how long would it take the 8 team members to paint a 8000 square foot wall if they could paint a 5000 square foot wall in 30 minutes.
The time required and the size of the wall to be painted are directly proportionate.
We multiply the time required by 8000/5000 when increasing the size of the wall to paint (from 5000 square feet to 8000 square feet).
To paint the 8000 square foot wall,
We will need 30 × 8000/5000 = 48 minutes.
Therefore, It take 48 minutes to paint a 8000 square foot wall.
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The spray painting team would take 48 minutes to paint a 8000 square feet wall.
Given ,
Everyone on our spray painting team moves at the same speed.
If the eight team members could paint a 5000 square foot wall in 30 minutes, how long would it take them to paint an 8000 square foot wall?
The time required and the size of the wall to be painted are directly proportionate.
When painting a wall that is larger, we multiply the time needed by 8000/5000. (from 5000 square feet to 8000 square feet).
The 8000 square feet wall needed to be painted,
⇒ 8 workers - 5000 sq feet - 30 minutes.
In one minute the 8 workers would paint:
= 5000/30
= 500/3 sq ft
so to paint 8000 sq ft they would take:
= 8000/500/3
= 8000×3/500
= 16×3
= 48 minutes.
Hence the team would take 48 minutes to paint the 8000 sq feet wall.
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