Bus Timetable Optimization - Expert Level: conceptual clarity Bus Timetable Optimization EXPERT

This skill evaluation ⚡ worksheet focuses on Bus Timetable Optimization - a key topic in Scheduling. You'll solve 20 expert-level problems (Worksheet 9 of 10). The primary focus is on conceptual clarity. Master bus timetable optimization ssc cgl, bus timetable optimization reasoning tricks, and fast bus timetable optimization solving through systematic practice.

📝 Worksheet 9 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:

Master bus timetable optimization ssc cgl through focused practice
Understand the logic behind bus timetable optimization reasoning tricks
Learn step-by-step approaches to conceptual clarity
Develop intuition for instant problem recognition
Achieve mastery with the most difficult problem types

Your progress through Bus Timetable Optimization

Worksheet 9 of 10 (88% complete)

Question 1

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 2

A bus route takes 60 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: 60 × 2 = 120 minutes
2. Headway: 12 minutes
3. Buses needed: ⌈120 ÷ 12⌉ = 11

Answer: 11 buses

Question 3

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 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 53 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: 53 × 2 = 106 minutes
2. Headway: 15 minutes
3. Buses needed: ⌈106 ÷ 15⌉ = 8

Answer: 8 buses

Question 6

A bus route takes 40 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: 40 × 2 = 80 minutes
2. Headway: 15 minutes
3. Buses needed: ⌈80 ÷ 15⌉ = 6

Answer: 6 buses

Question 7

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 8

A bus route takes 42 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: 42 × 2 = 84 minutes
2. Headway: 15 minutes
3. Buses needed: ⌈84 ÷ 15⌉ = 6

Answer: 6 buses

Question 9

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 10

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 11

A bus route takes 50 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: 50 × 2 = 100 minutes
2. Headway: 10 minutes
3. Buses needed: ⌈100 ÷ 10⌉ = 11

Answer: 11 buses

Question 12

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 13

A bus route takes 47 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: 47 × 2 = 94 minutes
2. Headway: 15 minutes
3. Buses needed: ⌈94 ÷ 15⌉ = 7

Answer: 7 buses

Question 14

A bus route takes 34 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: 34 × 2 = 68 minutes
2. Headway: 12 minutes
3. Buses needed: ⌈68 ÷ 12⌉ = 6

Answer: 6 buses

Question 15

A bus route takes 47 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: 47 × 2 = 94 minutes
2. Headway: 15 minutes
3. Buses needed: ⌈94 ÷ 15⌉ = 7

Answer: 7 buses

Question 16

A bus route takes 38 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: 38 × 2 = 76 minutes
2. Headway: 12 minutes
3. Buses needed: ⌈76 ÷ 12⌉ = 7

Answer: 7 buses

Question 17

A bus route takes 34 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: 34 × 2 = 68 minutes
2. Headway: 12 minutes
3. Buses needed: ⌈68 ÷ 12⌉ = 6

Answer: 6 buses

Question 18

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 19

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 20

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

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