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Bus Timetable Optimization - Absolute-Beginner Level: core concept mastery Bus Timetable Optimization ABSOLUTE BEGINNER

This skill primer 🌟 worksheet focuses on Bus Timetable Optimization - a key topic in Scheduling. You'll solve 20 absolute-beginner-level problems (Worksheet 1 of 10). The primary focus is on core concept mastery. Master bus timetable optimization problems, bus timetable optimization reasoning questions, and bus timetable optimization practice through systematic practice.

📝 Worksheet 1 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Absolute Beginner level

What you'll learn in this worksheet:
Your progress through Bus Timetable Optimization
Worksheet 1 of 10 (0% complete)

Question 1

A bus route takes 42 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: 42 × 2 = 84 minutes
2. Headway: 12 minutes
3. Buses needed: ⌈84 ÷ 12⌉ = 8

Answer: 8 buses

Question 2

A bus route takes 45 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: 45 × 2 = 90 minutes
2. Headway: 10 minutes
3. Buses needed: ⌈90 ÷ 10⌉ = 10

Answer: 10 buses

Question 3

A bus route takes 55 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: 55 × 2 = 110 minutes
2. Headway: 10 minutes
3. Buses needed: ⌈110 ÷ 10⌉ = 12

Answer: 12 buses

Question 4

A bus route takes 43 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: 43 × 2 = 86 minutes
2. Headway: 15 minutes
3. Buses needed: ⌈86 ÷ 15⌉ = 6

Answer: 6 buses

Question 5

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 6

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 7

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 8

A bus route takes 47 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: 47 × 2 = 94 minutes
2. Headway: 10 minutes
3. Buses needed: ⌈94 ÷ 10⌉ = 10

Answer: 10 buses

Question 9

A bus route takes 35 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: 35 × 2 = 70 minutes
2. Headway: 10 minutes
3. Buses needed: ⌈70 ÷ 10⌉ = 8

Answer: 8 buses

Question 10

A bus route takes 53 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: 53 × 2 = 106 minutes
2. Headway: 10 minutes
3. Buses needed: ⌈106 ÷ 10⌉ = 11

Answer: 11 buses

Question 11

A bus route takes 37 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: 37 × 2 = 74 minutes
2. Headway: 12 minutes
3. Buses needed: ⌈74 ÷ 12⌉ = 7

Answer: 7 buses

Question 12

A bus route takes 55 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: 55 × 2 = 110 minutes
2. Headway: 10 minutes
3. Buses needed: ⌈110 ÷ 10⌉ = 12

Answer: 12 buses

Question 13

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 14

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 15

A bus route takes 45 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: 45 × 2 = 90 minutes
2. Headway: 15 minutes
3. Buses needed: ⌈90 ÷ 15⌉ = 7

Answer: 7 buses

Question 16

A bus route takes 54 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: 54 × 2 = 108 minutes
2. Headway: 10 minutes
3. Buses needed: ⌈108 ÷ 10⌉ = 11

Answer: 11 buses

Question 17

A bus route takes 37 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: 37 × 2 = 74 minutes
2. Headway: 12 minutes
3. Buses needed: ⌈74 ÷ 12⌉ = 7

Answer: 7 buses

Question 18

A bus route takes 44 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: 44 × 2 = 88 minutes
2. Headway: 15 minutes
3. Buses needed: ⌈88 ÷ 15⌉ = 6

Answer: 6 buses

Question 19

A bus route takes 44 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: 44 × 2 = 88 minutes
2. Headway: 12 minutes
3. Buses needed: ⌈88 ÷ 12⌉ = 8

Answer: 8 buses

Question 20

A bus route takes 42 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: 42 × 2 = 84 minutes
2. Headway: 10 minutes
3. Buses needed: ⌈84 ÷ 10⌉ = 9

Answer: 9 buses
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