Answer:
It will take the master baker 2.86 hours to finish the remaining order after 2 hours.
Step-by-step explanation:
the time taken for the master baker to fill the order = 6 hours
the time taken for the student baker to fill the order = 8 hours
let the time taken for both to finish the work together if they work at the same rate = x
[tex]\frac{x}{8} + \frac{x}{6} =1\\\\\frac{3x + 4x}{24} = 1\\\\7x = 24\\\\x = \frac{24}{7}\\\\x = 3.43 \ hours[/tex]
After 2 hours, the remaining time for them to finish the work together is given by;
t(remaining) = 3.43 hours - 2 hours = 1.43 hours
Working at the same rate, 2 persons will take 1.43 hours to finish the remaining work.
One person will take hour many hours ?
2 persons working at the same rate --------> 1.43 hours
1 person working at the same rate -----> ?
= 2 x 1.43 hours
= 2.86 hours
Therefore, it will take the master baker 2.86 hours to finish the remaining order after 2 hours.
