Question
Download Solution PDFThe average weight of 10 workers travelling in a boat is increased by 2.8 kg when one of the workers, who weighs 58 kg, is replaced by a new worker. Find the weight of the new worker.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
Number of workers: 10
Increase in average weight: 2.8 kg
Weight of worker who left: 58 kg
Concept used:
The new average is the old average plus the increase, and the total weight increase is the product of the increase in average weight and the number of workers.
Solution:
Calculate the total weight increase: 10 × 2.8 kg.
Calculate the weight of the new worker: weight of worker who left + total weight increase.
⇒ Total weight increase = 10 × 2.8 kg = 28 kg
⇒ Weight of new worker = 58 kg + 28 kg = 86 kg
Therefore, the weight of the new worker is 86 kg.
Last updated on Jun 12, 2025
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