An air base has a fleet of transport vehicles. Of these vehicles, are diesel-powered, and the remaining vehicles are electric. Currently, of the diesel-powered vehicles and of the electric vehicles are out of service for routine maintenance. What is the total number of transport vehicles that are currently in service?
Answer: 146 vehicles
Answer
146
The total number of vehicles in service is found by determining the quantity of each vehicle type, calculating the out-of-service vehicles for each subgroup (26 diesel and 28 electric), and subtracting this total (54) from the overall fleet of 200, resulting in 146 active vehicles.
Step-by-Step Solution
Key Concept
Calculating successive percentages and determining parts of different subgroups.
Alternative Method
Instead of finding the out-of-service vehicles and subtracting, you can directly calculate the in-service vehicles. Diesel in service = 80% of 130 = 104. Electric in service = 60% of 70 = 42. Total in service = 104 + 42 = 146.
Estimated Time:1m 30s