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Answer :
Final answer:
15 senior technicians and 20 junior technicians will take 10 days to repair the truck. The correct option is b.
Explanation:
To solve this problem without formulas or calculations, let's analyze the given information intuitively. We're told that 45 senior technicians or 60 junior technicians can repair the truck in 20 days. This implies that 1 senior technician is equivalent to 60/45 = 4/3 junior technicians in terms of work efficiency.
Now, if we compare the ratios of senior to junior technicians required, we see that 15 senior technicians (15 * 1 = 15 units of work) are equivalent to 20 junior technicians (20 * 4/3 = 80/3 ≈ 26.7 units of work). So, together, they represent approximately 41.7 units of work. Given that either group can complete the task in 20 days, it suggests that the combined team would work at a rate that is approximately twice as fast.
Hence, they will take approximately 10 days to complete the repair together. By understanding the relative work efficiencies of senior and junior technicians and considering their combined efforts, we've determined that 15 senior technicians and 20 junior technicians working together will complete the truck repair in 10 days, demonstrating a practical approach to problem-solving without reliance on explicit formulas or calculations.
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