Bus Timetable Optimization - Intermediate Level: tricky scenarios handling Bus Timetable Optimization INTERMEDIATE

This expert challenge 📈 worksheet focuses on Bus Timetable Optimization - a key topic in Scheduling. You'll solve 20 intermediate-level problems (Worksheet 5 of 10). The primary focus is on tricky scenarios handling. Master how to solve bus timetable optimization, bus timetable optimization tricks, and bus timetable optimization shortcut methods through systematic practice.

📝 Worksheet 5 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:

Master how to solve bus timetable optimization through focused practice
Understand the logic behind bus timetable optimization tricks
Learn step-by-step approaches to tricky scenarios handling
Improve your solving speed while maintaining accuracy
Learn to eliminate wrong options efficiently

Your progress through Bus Timetable Optimization

Worksheet 5 of 10 (44% complete)

Question 1

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 2

A bus route takes 38 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: 38 × 2 = 76 minutes
2. Headway: 10 minutes
3. Buses needed: ⌈76 ÷ 10⌉ = 8

Answer: 8 buses

Question 3

A bus route takes 54 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: 54 × 2 = 108 minutes
2. Headway: 15 minutes
3. Buses needed: ⌈108 ÷ 15⌉ = 8

Answer: 8 buses

Question 4

A bus route takes 43 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: 43 × 2 = 86 minutes
2. Headway: 10 minutes
3. Buses needed: ⌈86 ÷ 10⌉ = 9

Answer: 9 buses

Question 5

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 6

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 7

A bus route takes 33 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: 33 × 2 = 66 minutes
2. Headway: 12 minutes
3. Buses needed: ⌈66 ÷ 12⌉ = 6

Answer: 6 buses

Question 8

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 9

A bus route takes 36 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: 36 × 2 = 72 minutes
2. Headway: 15 minutes
3. Buses needed: ⌈72 ÷ 15⌉ = 5

Answer: 5 buses

Question 10

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 11

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 12

A bus route takes 48 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: 48 × 2 = 96 minutes
2. Headway: 15 minutes
3. Buses needed: ⌈96 ÷ 15⌉ = 7

Answer: 7 buses

Question 13

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 14

A bus route takes 31 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: 31 × 2 = 62 minutes
2. Headway: 12 minutes
3. Buses needed: ⌈62 ÷ 12⌉ = 6

Answer: 6 buses

Question 15

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 16

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 17

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 18

A bus route takes 31 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: 31 × 2 = 62 minutes
2. Headway: 12 minutes
3. Buses needed: ⌈62 ÷ 12⌉ = 6

Answer: 6 buses

Question 19

A bus route takes 43 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: 43 × 2 = 86 minutes
2. Headway: 10 minutes
3. Buses needed: ⌈86 ÷ 10⌉ = 9

Answer: 9 buses

Question 20

A bus route takes 52 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: 52 × 2 = 104 minutes
2. Headway: 15 minutes
3. Buses needed: ⌈104 ÷ 15⌉ = 7

Answer: 7 buses

📝 Continue your Bus Timetable Optimization practice. Worksheet 5 focuses on tricky scenarios handling.

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