It would take the first hamster 20 minutes to do it alone and the second hamster 12 minutes to do it alone.
An equation is an expression that is used to show the relationship between two or more numbers and variables.
Let x represent the rate of the first hamster and y the rate of the second hamster. One hamster need 8 more minutes to do it alone, hence:
x = y + 8
The Two hamsters work together and move a pile of sunflower seeds in 7 1/2 minutes, hence:
(1/x + 1/y)7.5 = 1
(1/(y + 8) + 1/y)7.5 = 1
Hence:
y = 12
x = y + 8 = 12 + 8 = 20
It would take the first hamster 20 minutes to do it alone and the second hamster 12 minutes to do it alone.
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