Question

A tunnel elevator can carry a maximum of 15 passengers with an average weight of 81 kg. However, four persons beyond the maximum capacity entered the elevator, resulting in an average weight of 82 kg and causing it to be overloaded. Find the average weight (in kg) of the additional four persons.

• A. 90.41
• B. 100
• C. 102.37
• D. 85.75

Answer 1

Answer:

D. 85.75

Maximum capacity = 15 persons
Average weight = 81 kg

Total weight for 15 persons $= (15 \times 81 = 1215) kg$

Now, 4 extra persons enter → total persons = 19
New average = 82 kg

Total new weight $= (19 \times 82 = 1558) kg$

Weight of additional 4 persons = (1558 - 1215 = 343) kg

Average weight of 4 persons =
$\frac{343}{4} = 85.75$

Final Answer: 85.75 kg