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Peter painted a total of 3 rooms. He spent 1/5 of his time on the first room and 1/3 of the remaining time on the second room. He spent 8 hours painting the last room. How much time did he take to complete painting all 3 rooms?

 Oct 11, 2023
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Call the total time = T

 

First room =  (1/5)T

Second room = (T - 1/5 T) (1/3)   =  (4/5)T (1/3)  =  (4/15)T

Third room =  8

 

So

(1/5)T + (4/15)T + 8  = T

 

(7/15)T + 8 = T

 

8 = T - (7/15)T

 

8 = (8/15)T

 

T = 8 ( 15/8)  =   15 hours

 

 

cool cool cool

 Oct 11, 2023

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