Answer:
Faster worker takes 4 hours and slower worker takes 12 hours.
Step-by-step explanation:
Let x be the time ( in hours ) taken by faster worker,
So, according to the question,
Time taken by slower worker = (x+8) hours,
Thus, the one day work of faster worker =
Also, the one day work of slower worker =
So, the total one day work when they work together =
Given,
They take 3 hours in working together,
So, their combined one day work =
( Adding fractions )
( Cross multiplication )
( Distributive property )
( Subtraction property of equality )
By quadratic formula,
Since, hours can not negative,
Hence, time taken by faster worker = x hours = 4 hours,
And, the time taken by slower worker = x + 8 = 12 hours.