If 24 painters working for 7 hours a day, for painting a house in 16 days. How many painters are required working for 8 hours a day will finish painting the same house in 12 days?
Answers
Answer
Let the required number of painters be x,
x painters working for 8 hours a day paint the house in (16 × 24 × 7)/(x × 8) days
ACCORDING TO QUESTION - >
(16 × 24 × 7)/(x × 8) = 12
96x = 2688
x = 28
[HENCE]
28 painters working for 8 hours a day
28 painters are required to work for 8 hours a day to finish painting the same house in 12 days.
Step by step explanation
Given
24 painters working 7 hours a day to paint a house requires = 16 days.
Using Unitary Method
1 painter working 7 hours a day to paint a house requires = 16 x 24days.
1 painter working 1 hour a day to paint a house requires = 16 x24 x 7days.
Let the number of workers required be x
1 painter working 1 hour a day to paint a house requires = 16 x24 x 7days.
x painters working 1 hour a day to paint a house requires = (16x24x 7)/x
x painter working 8 hours a day to paint a house requires=
(16x24x7)/x × 8 days.
In the question number of days given is 12.
Therefore,
(16x24x7)/x × 8 days = 12 days
2688/8x = 12
2688 = 12 × 8x
2688 = 96x
96x = 2688
x = 2688/96
x = 28
Thus, 28 workers are required to work for 8 hours a day to finish painting the same house in 12 days.
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