Question

Мастер и ученик получили заказ 45 столов . Мастер может выполнить этот заказ за 9 дней , а ученик за 15 дней . Сколько дней потребуется мастеру и ученику для того , чтобы выполнить заказ вместе ?

Answer 1

45:9=5(виготовляє робітник за 1 день) 45:15=3(виготовляє учень за 1 день) 5+3=8(виготовляють разом за один день) 45:8=4,6день

Answer 2

Calculation of Time Required for Master and Apprentice to Complete the Order

To determine the number of days required for the master and the apprentice to complete the order together, we need to calculate the combined efficiency of both individuals.

Let's assume that the master can complete the order in 1 day, and the apprentice can complete the order in 1.5 days.

To find the combined efficiency, we can use the formula:

Combined Efficiency = (Efficiency of Master * Efficiency of Apprentice) / (Efficiency of Master + Efficiency of Apprentice)

Substituting the given values:

Combined Efficiency = (1 * 1.5) / (1 + 1.5) = 1.5 / 2.5 = 0.6

Now, we can calculate the number of days required for both the master and the apprentice to complete the order together using the formula:

Number of Days Required = Total Work / Combined Efficiency

Given that the total work is 45 tables, we can calculate the number of days required as follows:

Number of Days Required = 45 / 0.6 = 75

Therefore, it will take the master and the apprentice 75 days to complete the order together.