Question

A painting company has been training its manpower in such a way that 36 painters could paint 36 rooms of equal dimensions in 36 hours. The company has received an order for getting 84 such rooms painted in 24 hours. How many additional painters should the company employ for this project?​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

number of painters required to paint 84 rooms in 24 hours = 126 painters

number of additional painters required = 126 - 36 = 90 painters

Step-by-step explanation:

given, 36 painters could paint 36 rooms in 36 hours

to find, number of painters required to paint 84 rooms in 24 hours

first, calculate the efficiency of each painter

36 painters for 36 hours ⇒ 36×36 = 1296 hours for 36 rooms

time required for 1 room = $\frac{1296}{36}$ = 36 hours

now, in case 2, there are 84 rooms to be painted in 24 hour

each room require 36 hours to be painted

⇒ 84 rooms take 84×36 = 3024 hours to be painted

the work has to be completed in 24 hours

number of painters required = $\frac{3024}{24}$ = 126 painters

number of additional painters required = 126 - 36 = 90 men