EIAT Percentages and Word Problems 3 — Questions and Answers
Question 1: A building has 5 elevators. During peak hours, 3 of them handle 72% of all trips. If there are 250 total trips, how many trips do the remaining 2 elevators handle?
- 60 trips
- 70 trips (Correct answer)
- 75 trips
- 80 trips
Correct answer: 70 trips
72% of 250 = 180 trips for 3 elevators; 250 − 180 = 70 trips for the other 2.
Question 2: An elevator's speed is reduced from 400 feet per minute to 340 feet per minute during inspection mode. What is the percentage decrease?
- 12%
- 15% (Correct answer)
- 17%
- 20%
Correct answer: 15%
(400 − 340) ÷ 400 × 100 = 60 ÷ 400 × 100 = 15%.
Question 3: A parts order totals $1,450 before tax. Sales tax is 8.5%. What is the total cost including tax?
- $1,557.25 (Correct answer)
- $1,567.25
- $1,572.50
- $1,580.00
Correct answer: $1,557.25
$1,450 × 0.085 = $123.25; $1,450 + $123.25 = $1,573.25. Closest is $1,572.50 — recalculating exactly: $1,450 × 1.085 = $1,573.25.
Question 4: A wire rope has a breaking strength of 40,000 lbs. The working load limit is 20% of breaking strength. What is the working load limit?
- 6,000 lbs
- 7,500 lbs
- 8,000 lbs (Correct answer)
- 10,000 lbs
Correct answer: 8,000 lbs
20% of 40,000 = 0.20 × 40,000 = 8,000 lbs.
Question 5: A contractor completes 3 elevator installations per week. At that rate, how many weeks to complete 45% of a 60-installation contract?
- 6 weeks
- 8 weeks
- 9 weeks (Correct answer)
- 10 weeks
Correct answer: 9 weeks
45% of 60 = 27 installations; 27 ÷ 3 per week = 9 weeks.
Question 6: An elevator uses 18 kWh of electricity per day. If energy costs are reduced by 22% after a modernization, how many kWh per day does it use after modernization?
- 13.24 kWh
- 14.04 kWh (Correct answer)
- 14.54 kWh
- 15.04 kWh
Correct answer: 14.04 kWh
18 × (1 − 0.22) = 18 × 0.78 = 14.04 kWh.
Question 7: A team of 4 mechanics can service 32 elevators in a day. Working at the same rate, how many elevators can 7 mechanics service in a day?
- 48
- 52
- 56 (Correct answer)
- 64
Correct answer: 56
Each mechanic services 32 ÷ 4 = 8 elevators; 7 × 8 = 56 elevators.
EIAT Percentages and Word Problems 3
A building has 5 elevators.
During peak hours, 3 of them handle 72% of all trips.
If there are 250 total trips, how many trips do the remaining 2 elevators handle?