Bus Timetable Optimization Beginner-Intermediate Worksheet: Focus on common variations practice Bus Timetable Optimization BEGINNER INTERMEDIATE

Level up your Bus Timetable Optimization skills! You're at Worksheet 4 of 10 (33% through this series). This step-up challenge worksheet features 20 beginner-intermediate-level problems with a focus on common variations practice. Topics covered: bus timetable optimization for competitive exams, how to solve bus timetable optimization, bus timetable optimization tricks.

📝 Worksheet 4 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner Intermediate level

What you'll learn in this worksheet:

Understand the logic behind how to solve bus timetable optimization
Learn step-by-step approaches to common variations practice
Bridge the gap between basic and advanced concepts
Handle problems with increasing complexity
Master bus timetable optimization for competitive exams through focused practice

Your progress through Bus Timetable Optimization

Worksheet 4 of 10 (33% complete)

Question 1

A bus route takes 56 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: 56 × 2 = 112 minutes
2. Headway: 15 minutes
3. Buses needed: ⌈112 ÷ 15⌉ = 8

Answer: 8 buses

Question 2

A bus route takes 41 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: 41 × 2 = 82 minutes
2. Headway: 15 minutes
3. Buses needed: ⌈82 ÷ 15⌉ = 6

Answer: 6 buses

Question 3

A bus route takes 56 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: 56 × 2 = 112 minutes
2. Headway: 12 minutes
3. Buses needed: ⌈112 ÷ 12⌉ = 10

Answer: 10 buses

Question 4

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 5

A bus route takes 59 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: 59 × 2 = 118 minutes
2. Headway: 12 minutes
3. Buses needed: ⌈118 ÷ 12⌉ = 10

Answer: 10 buses

Question 6

A bus route takes 53 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: 53 × 2 = 106 minutes
2. Headway: 12 minutes
3. Buses needed: ⌈106 ÷ 12⌉ = 9

Answer: 9 buses

Question 7

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 8

A bus route takes 56 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: 56 × 2 = 112 minutes
2. Headway: 12 minutes
3. Buses needed: ⌈112 ÷ 12⌉ = 10

Answer: 10 buses

Question 9

A bus route takes 31 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: 31 × 2 = 62 minutes
2. Headway: 15 minutes
3. Buses needed: ⌈62 ÷ 15⌉ = 5

Answer: 5 buses

Question 10

A bus route takes 52 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: 52 × 2 = 104 minutes
2. Headway: 12 minutes
3. Buses needed: ⌈104 ÷ 12⌉ = 9

Answer: 9 buses

Question 11

A bus route takes 59 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: 59 × 2 = 118 minutes
2. Headway: 10 minutes
3. Buses needed: ⌈118 ÷ 10⌉ = 12

Answer: 12 buses

Question 12

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 13

A bus route takes 34 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: 34 × 2 = 68 minutes
2. Headway: 15 minutes
3. Buses needed: ⌈68 ÷ 15⌉ = 5

Answer: 5 buses

Question 14

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

Question 15

A bus route takes 49 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: 49 × 2 = 98 minutes
2. Headway: 10 minutes
3. Buses needed: ⌈98 ÷ 10⌉ = 10

Answer: 10 buses

Question 16

A bus route takes 50 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: 50 × 2 = 100 minutes
2. Headway: 15 minutes
3. Buses needed: ⌈100 ÷ 15⌉ = 7

Answer: 7 buses

Question 17

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 18

A bus route takes 51 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: 51 × 2 = 102 minutes
2. Headway: 10 minutes
3. Buses needed: ⌈102 ÷ 10⌉ = 11

Answer: 11 buses

Question 19

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 20

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

📝 Continue your Bus Timetable Optimization practice. Worksheet 4 focuses on common variations practice.

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