George and mark can paint 720 boxes in 20 days. Mark and harry in 24 days and harry and george in 15 days. George works for 4 days, mark for 8 days and harry for 8 days. The total number of boxes painted by them is
Answers
Answer:
The total number of boxes painted by them is 348.
Step-by-step explanation:
Consider the provided information.
Let G represents George, M represents Mark and H represents Harry.
George and Mark can paint 720 boxes in 20 days.
The above information can be written as:
G + M = 720 / 20 = 36
Mark and Harry can paint 720 boxes in 24 days.
M + H = 720 / 24 = 30
Harry and George can paint 720 boxes in 15 days.
H + G = 720 / 15 = 48
If they all work together then the capacity = 2 (G + H + M) = 114
G + H + M = 114/2 = 57
Now calculate the capacity of G = (G+H+M) - (H + M) = 57 - 30 = 27
Thus, the capacity of Gorge is 27. Similarly
The capacity of M = (G+H+M) - (H + G) = 57 - 48 = 9
The capacity of H = (G+H+M) - (G + M) = 57 - 36 = 21
It is given that George works for 4 days, Mark for 8 and Harry for 8 days
So, the total work done by them = 4 x 27 + 8 x 9 + 8 x 21 = 348
Hence, the total number of boxes painted by them is 348.
Answer:
348
Step-by-step explanation:
Given
George and mark can paint 720 boxes in 20 days. Mark and harry in 24 days and harry and george in 15 days. George works for 4 days, mark for 8 days
Capacities of the people are
George (G) + Mark (M) = 720/20 = 36
Mark + harry (h) = 720 / 24 = 30
Harry + George = 720 / 15 = 48
Now adding all the above we get 2 (George + Mark + harry) = 36 + 30 + 48 = 114
= 114/2
= 57
Now we need to solve the equations
G + M = 36
h + M = 30
----------------- subtracting we get
G – h = 6
G + h = 48
2 G = 54
G = 27
G + M = 36
27 + M = 36
M = 36 – 27
M = 9
Also h + G = 48
H + 27 = 48
H = 21
Now G works for 4 days = 4 x 27 = 108
M works for 8 days = 8 x 9 = 72
H works for 8 days = 8 x 21 = 168
So total boxes painted will be 108 + 72 + 168 = 348