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?

Respuesta :

Answer:

The master baker will take 155 minutes to finish his order, that is, 2 hours and 35 minutes.

Step-by-step explanation:

Given that a master baker fills an order in 6 hours, while his student does it in 8 hours, in case the two work together for two hours, the time it will take for the master baker to complete his order is determined by the following calculation:

((6 + 8) / 2) / 2 = X

Thus, the cooking times of both are added, averaged and divided by two (while both cook cooperating with each other)

14 / 2 / 2 = X = 3.5

Therefore, in case you both collaborate throughout the cooking process, it would take 3 hours and 30 minutes to cook the entire order.

Therefore, if the student has only collaborated for 2 hours, it implies that they only participate in 57% of the process, while 20/35 = 0.57.

For this reason, given that the master baker himself places his order in 6 hours, that is, 360 minutes, to determine the time that the remaining 43% implies, the following calculation must be performed:

360/100 x 43 = X

154.8 = X

Thus, the master baker will take 155 minutes to finish his order, that is, 2 hours and 35 minutes.

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