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45 senior technicians or 60 junior technicians can repair a truck in 20 days. How many days will 15 senior technicians and 20 junior technicians take to complete the work?

A. 8
B. 10
C. 12
D. 15

Answer :

Final answer:

Explanation of how to determine the number of days needed for a group of senior and junior technicians to complete a task. The correct option is B .

Explanation:

The question:

45 senior technicians or 60 junior technicians can repair a truck in 20 days. How many days will 15 senior technicians and 20 junior technicians take to complete the work?

Solution:

  1. Calculate the total work done by senior technicians in a day: 1 senior = 1/45 of the work per day, so 15 senior technicians do 15/45 of the work per day.
  2. Calculate the total work done by junior technicians in a day: 1 junior = 1/60 of the work per day, so 20 junior technicians do 20/60 of the work per day.
  3. Combine the work rates of senior and junior technicians to find the total work done per day. Then, use this to calculate the number of days required to complete the work.

Explanation of how to determine the number of days needed for a group of senior and junior technicians to complete a task. The correct option is B .

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