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Master Bus Timetable Optimization - Beginner Level Problems Bus Timetable Optimization BEGINNER

Excel in competitive exams with this skill builder ⚡ worksheet on Bus Timetable Optimization. Worksheet 3 of 10 contains 20 beginner-level problems. Target your step-by-step problem solving skills while practicing bus timetable optimization practice, bus timetable optimization for competitive exams, and how to solve bus timetable optimization.

📝 Worksheet 3 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Bus Timetable Optimization
Worksheet 3 of 10 (22% complete)

Question 1

A bus route takes 60 minutes one-way. Peak frequency: 1 bus every 10 minutes. What is the minimum number of buses needed to maintain this frequency in both directions?
Step-by-step solution:

1. Round trip time: 60 × 2 = 120 minutes
2. Headway: 10 minutes
3. Buses needed: ⌈120 ÷ 10⌉ = 13

Answer: 13 buses

Question 2

A bus route takes 51 minutes one-way. Peak frequency: 1 bus every 15 minutes. What is the minimum number of buses needed to maintain this frequency in both directions?
Step-by-step solution:

1. Round trip time: 51 × 2 = 102 minutes
2. Headway: 15 minutes
3. Buses needed: ⌈102 ÷ 15⌉ = 7

Answer: 7 buses

Question 3

A bus route takes 36 minutes one-way. Peak frequency: 1 bus every 12 minutes. What is the minimum number of buses needed to maintain this frequency in both directions?
Step-by-step solution:

1. Round trip time: 36 × 2 = 72 minutes
2. Headway: 12 minutes
3. Buses needed: ⌈72 ÷ 12⌉ = 7

Answer: 7 buses

Question 4

A bus route takes 41 minutes one-way. Peak frequency: 1 bus every 12 minutes. What is the minimum number of buses needed to maintain this frequency in both directions?
Step-by-step solution:

1. Round trip time: 41 × 2 = 82 minutes
2. Headway: 12 minutes
3. Buses needed: ⌈82 ÷ 12⌉ = 7

Answer: 7 buses

Question 5

A bus route takes 43 minutes one-way. Peak frequency: 1 bus every 12 minutes. What is the minimum number of buses needed to maintain this frequency in both directions?
Step-by-step solution:

1. Round trip time: 43 × 2 = 86 minutes
2. Headway: 12 minutes
3. Buses needed: ⌈86 ÷ 12⌉ = 8

Answer: 8 buses

Question 6

A bus route takes 40 minutes one-way. Peak frequency: 1 bus every 10 minutes. What is the minimum number of buses needed to maintain this frequency in both directions?
Step-by-step solution:

1. Round trip time: 40 × 2 = 80 minutes
2. Headway: 10 minutes
3. Buses needed: ⌈80 ÷ 10⌉ = 9

Answer: 9 buses

Question 7

A bus route takes 39 minutes one-way. Peak frequency: 1 bus every 10 minutes. What is the minimum number of buses needed to maintain this frequency in both directions?
Step-by-step solution:

1. Round trip time: 39 × 2 = 78 minutes
2. Headway: 10 minutes
3. Buses needed: ⌈78 ÷ 10⌉ = 8

Answer: 8 buses

Question 8

A bus route takes 57 minutes one-way. Peak frequency: 1 bus every 12 minutes. What is the minimum number of buses needed to maintain this frequency in both directions?
Step-by-step solution:

1. Round trip time: 57 × 2 = 114 minutes
2. Headway: 12 minutes
3. Buses needed: ⌈114 ÷ 12⌉ = 10

Answer: 10 buses

Question 9

A bus route takes 51 minutes one-way. Peak frequency: 1 bus every 12 minutes. What is the minimum number of buses needed to maintain this frequency in both directions?
Step-by-step solution:

1. Round trip time: 51 × 2 = 102 minutes
2. Headway: 12 minutes
3. Buses needed: ⌈102 ÷ 12⌉ = 9

Answer: 9 buses

Question 10

A bus route takes 39 minutes one-way. Peak frequency: 1 bus every 15 minutes. What is the minimum number of buses needed to maintain this frequency in both directions?
Step-by-step solution:

1. Round trip time: 39 × 2 = 78 minutes
2. Headway: 15 minutes
3. Buses needed: ⌈78 ÷ 15⌉ = 6

Answer: 6 buses

Question 11

A bus route takes 47 minutes one-way. Peak frequency: 1 bus every 12 minutes. What is the minimum number of buses needed to maintain this frequency in both directions?
Step-by-step solution:

1. Round trip time: 47 × 2 = 94 minutes
2. Headway: 12 minutes
3. Buses needed: ⌈94 ÷ 12⌉ = 8

Answer: 8 buses

Question 12

A bus route takes 33 minutes one-way. Peak frequency: 1 bus every 10 minutes. What is the minimum number of buses needed to maintain this frequency in both directions?
Step-by-step solution:

1. Round trip time: 33 × 2 = 66 minutes
2. Headway: 10 minutes
3. Buses needed: ⌈66 ÷ 10⌉ = 7

Answer: 7 buses

Question 13

A bus route takes 50 minutes one-way. Peak frequency: 1 bus every 12 minutes. What is the minimum number of buses needed to maintain this frequency in both directions?
Step-by-step solution:

1. Round trip time: 50 × 2 = 100 minutes
2. Headway: 12 minutes
3. Buses needed: ⌈100 ÷ 12⌉ = 9

Answer: 9 buses

Question 14

A bus route takes 59 minutes one-way. Peak frequency: 1 bus every 15 minutes. What is the minimum number of buses needed to maintain this frequency in both directions?
Step-by-step solution:

1. Round trip time: 59 × 2 = 118 minutes
2. Headway: 15 minutes
3. Buses needed: ⌈118 ÷ 15⌉ = 8

Answer: 8 buses

Question 15

A bus route takes 58 minutes one-way. Peak frequency: 1 bus every 10 minutes. What is the minimum number of buses needed to maintain this frequency in both directions?
Step-by-step solution:

1. Round trip time: 58 × 2 = 116 minutes
2. Headway: 10 minutes
3. Buses needed: ⌈116 ÷ 10⌉ = 12

Answer: 12 buses

Question 16

A bus route takes 30 minutes one-way. Peak frequency: 1 bus every 15 minutes. What is the minimum number of buses needed to maintain this frequency in both directions?
Step-by-step solution:

1. Round trip time: 30 × 2 = 60 minutes
2. Headway: 15 minutes
3. Buses needed: ⌈60 ÷ 15⌉ = 5

Answer: 5 buses

Question 17

A bus route takes 31 minutes one-way. Peak frequency: 1 bus every 10 minutes. What is the minimum number of buses needed to maintain this frequency in both directions?
Step-by-step solution:

1. Round trip time: 31 × 2 = 62 minutes
2. Headway: 10 minutes
3. Buses needed: ⌈62 ÷ 10⌉ = 7

Answer: 7 buses

Question 18

A bus route takes 32 minutes one-way. Peak frequency: 1 bus every 12 minutes. What is the minimum number of buses needed to maintain this frequency in both directions?
Step-by-step solution:

1. Round trip time: 32 × 2 = 64 minutes
2. Headway: 12 minutes
3. Buses needed: ⌈64 ÷ 12⌉ = 6

Answer: 6 buses

Question 19

A bus route takes 56 minutes one-way. Peak frequency: 1 bus every 10 minutes. What is the minimum number of buses needed to maintain this frequency in both directions?
Step-by-step solution:

1. Round trip time: 56 × 2 = 112 minutes
2. Headway: 10 minutes
3. Buses needed: ⌈112 ÷ 10⌉ = 12

Answer: 12 buses

Question 20

A bus route takes 32 minutes one-way. Peak frequency: 1 bus every 12 minutes. What is the minimum number of buses needed to maintain this frequency in both directions?
Step-by-step solution:

1. Round trip time: 32 × 2 = 64 minutes
2. Headway: 12 minutes
3. Buses needed: ⌈64 ÷ 12⌉ = 6

Answer: 6 buses
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