Question

A master baker can fill a big order in 6 hours. A student baker can fill the same order in 8 hours. They start working together, and after 2 hours, the student leaves and the master baker finishes the work alone. How long will it take him to finish the order?

Answer 1

2 hours 30 minutes

Explanation:

Answer 2

It will take the master baker 2.86 hours to finish the remaining order after 2 hours.

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

`(x)/(8) + (x)/(6) =1\\\\(3x + 4x)/(24) = 1\\\\7x = 24\\\\x = (24)/(7)\\\\x = 3.43 \ hours`

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.