Gce Model Questions Vol1 2021 Geography Question 47

Practice objective / multiple choice question 47 from the 2021 Gce Model Questions Vol1 Geography examination.

Gce Model Questions Vol1 2021 Geography Objective / Multiple Choice Hard Difficulty
Question 47 GCE_MODEL_QUESTIONS_VOL1 • 2021 • GEOGRAPHY • objective

A commuter travels from home to the city centre using a bus followed by a train. The bus covers 15 km at an average speed of 30 km h⁻¹ and suffers a random delay uniformly distributed between 0 and 10 minutes. The train covers 25 km at an average speed of 80 km h⁻¹; trains depart every 15 minutes, and the commuter arrives at the station exactly when the bus does. Assuming the commuter's arrival time at the station is uniformly random with respect to the train schedule, calculate (a) the expected total travel time from home to the city centre, and (b) the probability that the total travel time exceeds 60 minutes.

Answer Options

A. Expected time ≈ 63.2 min; probability ≈ 0.61 (61 %).
B. Expected time ≈ 58.7 min; probability ≈ 0.47 (47 %).
C. Expected time ≈ 59.5 min; probability ≈ 0.50 (50 %).
Correct Answer D. Expected time ≈ 61.3 min; probability ≈ 0.54 (54 %).
Correct Answer
D
Correct Option:
Expected time ≈ 61.3 min; probability ≈ 0.54 (54 %).

About This Question

This is Gce Model Questions Vol1 2021 Geography Question 47. It is one of the objective questions from the 2021 Gce Model Questions Vol1 Geography examination.

Difficulty level: Hard .

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