The average weight of 12 crewmen in a boat increases by \(\frac{1}{3}\) kg when one of the crewmen, who weighs 55 kg, is replaced by a new man. What is the weight of the new man?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 59 kg
The number of crewmen stays 12, so a rise in the average means the total weight has gone up by 12 times that rise; the new man brings this extra weight.
Rise in total weight \(\displaystyle =12\times\frac{1}{3}=4\) kg
Weight of the new man \(=55+4=59\) kg
The new man weighs 59 kg.