Answer:
3 painters will scrape the same house in 6 hours.
Step-by-step explanation:
If all the painters work at a constant rate, then the number of painters employed to scrape the house is inversely proportional to the number of hours required to scrape the house.
Therefore, the product of the number of painters, N employed and the number of hours, H required to scrape the house will be constant.
So, [tex]N_{1} H_{1} = N_{2}H_{2}[/tex]
⇒ [tex]2 \times 9 = 3 \times H_{2}[/tex]
⇒ [tex]H_{2} = 6[/tex] hours.
Therefore, 3 painters will scrape the same house in 6 hours. (Answer)
