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C3.4 · Compare transportation modes by cost, time, and convenience

Learn to compare transportation modes by cost, time, and convenience through clear examples and targeted practice.

Ontario Grade 11 Mathematics

Transportation and Travel

Comparing transportation by cost, time, and convenience

Imagine you have an interview across town. You could take a bus, use a ride service, or drive with a family member. The lowest-cost option may take longer, while the quickest may cost more. A good comparison looks at cost, time, and convenience together. Convenience means how easy an option is for this particular trip, including things like waiting, transfers, parking, and schedule fit. There is not always one best choice for everyone.

What you will learn

Compare two or more transportation modes using cost, time, and convenience.
Calculate and compare travel costs from simple fare information.
Use a table or spreadsheet to organize information and explain which option best fits a person’s needs.

Start with the trip and the person’s needs

First, describe the trip clearly. Note where it starts and ends, when the traveller must arrive, and whether the trip is one-way or return. These details matter: a return fare can cost more than a one-way fare, and a route that works in the morning may not work late at night.

Next, decide what matters most to the traveller. Someone going to a job interview may need to arrive on time. Someone travelling on a tight budget may focus on the total fare. Someone carrying supplies may value a direct trip with room for bags.

Use the same trip details for every option. Comparing a bus return trip with a one-way ride-service trip would not be fair. If information is missing, such as a parking fee, mark it as unknown rather than pretending it is zero.

Compare options for the same journey and travel time.
Find out whether each price is one-way or return.
Convenience depends on the traveller and the trip.

Compare the three factors

Cost is the amount the traveller pays. Include known fares and other trip charges, such as parking. If a fare is per ride, count the rides needed. For example, a return journey usually needs two rides unless the fare information says otherwise.

Time is the travel time from the starting point to the destination. Include waiting or transfer time when the information provides it. A transfer is a change from one vehicle or route to another. If only driving time is listed, say that the actual trip may take longer because of traffic or parking.

Convenience is how well the option fits the traveller’s needs. Consider whether the route is direct, whether the schedule fits, how much waiting is involved, and whether the traveller can manage the trip comfortably. These details may not be given as numbers, so describe the evidence instead of inventing a score.

A simple table helps keep the comparison fair. A calculator can check totals. In a spreadsheet, place each mode in a row and use columns for cost, time, and convenience notes. The spreadsheet organizes the information; the traveller still decides which factor matters most.

Use the same trip and fare basis for each option.
Record travel time and any known waiting or transfer time.
Explain convenience with specific trip details.

Make a decision that fits the traveller

After comparing the information, look for trade-offs. A trade-off is what a person gives up when choosing one option over another. A bus may cost less but involve a transfer. A ride service may be direct but cost more.

Do not decide only by choosing the smallest cost or time. First check any must-haves. If the traveller must arrive before a certain time, an option that arrives too late is not suitable, even if it is cheap. Then compare the remaining options using the traveller’s priorities.

State the recommendation and the reason. For example: “I recommend the bus because it is within the budget and arrives before the appointment. It takes longer and requires a transfer, so the traveller should allow extra time.” A clear recommendation recognizes both benefits and drawbacks.

Check must-haves before comparing preferences.
A lower cost or shorter time does not automatically make an option best.
Support a recommendation with cost, time, and convenience evidence.

Example 1: Return-trip comparison

Mode	Return cost	Estimated return travel time	Convenience notes
Bus	CAD 6.80	76 minutes	Lower cost; one transfer each way; check schedule
Ride service	CAD 36	48 minutes	Direct and quicker; higher cost

Worked example

A return trip to a job interview

Maya must travel from home to an interview and return home. The bus costs CAD 3.40 per ride, takes 38 minutes each way, and needs one transfer each way. A ride service costs CAD 18 each way, takes about 24 minutes each way, and travels directly. Compare the choices for Maya, who wants to spend as little as possible but must arrive by 9:00 a.m.

Find the total bus fare
The bus price is for one ride. Maya needs one ride to the interview and one ride home, so multiply the one-ride fare by two.
$2 \times \text{CAD }3.40 = \text{CAD }6.80$
Find the total ride-service fare
The ride-service price is also for one direction. Maya needs two directions, so double the one-way price.
$2 \times \text{CAD }18 = \text{CAD }36$
Compare the travel times
For a fair comparison, compare the same number of directions. The bus takes 38 minutes each way, while the ride service takes about 24 minutes each way. These estimates do not include extra time for waiting or traffic.
$2 \times 38 = 76\text{ minutes};\quad 2 \times 24 = 48\text{ minutes}$
Consider convenience and arrival
The ride service is direct and takes less estimated travel time. The bus costs much less but needs a transfer, which adds a step and may require extra time. Maya should check the bus schedule and leave enough time to arrive before 9:00 a.m.

Answer: The bus costs CAD 6.80 for the return trip, compared with CAD 36 for the ride service. Its estimated travel time is 76 minutes return, compared with 48 minutes by ride service. Since Maya wants to spend as little as possible, the bus is the better fit if its schedule gets her there before 9:00 a.m. The direct ride service is more convenient and quicker, but costs more.

Check: The return totals use two one-way rides. The time comparison also uses two directions: 38 plus 38 is 76 minutes, and 24 plus 24 is 48 minutes.

Worked example

Choosing transport for an evening shift

Devon finishes work at 10:30 p.m. and needs a return trip home. A bus costs CAD 3.25 and takes about 42 minutes, but the last bus leaves at 10:15 p.m. A taxi costs CAD 27, takes about 20 minutes, and can pick Devon up after work. Compare the options for this trip.

Check whether each option is available
The bus leaves before Devon finishes work. So it does not meet the timing need for this trip, even though its fare is lower. The taxi can pick Devon up after the shift.
Compare the listed cost and time
The bus fare is CAD 3.25 and the listed travel time is 42 minutes. The taxi fare is CAD 27 and the listed travel time is about 20 minutes. These are one-way figures for the return trip, so no doubling is needed.
$\text{CAD }27 - \text{CAD }3.25 = \text{CAD }23.75$
Compare convenience for Devon
The bus would be inexpensive and may be suitable at another time, but its last departure is too early. The taxi costs CAD 23.75 more and has a shorter estimated trip time, but it fits Devon’s finishing time and offers a pickup after work.

Answer: For this specific trip, the taxi is the workable option because it can pick Devon up after the shift. It costs CAD 27 and takes about 20 minutes. The bus is cheaper and has a listed travel time of 42 minutes, but the last bus leaves before Devon finishes work, so it is not convenient or available for this journey.

Check: The fare difference is CAD 27 minus CAD 3.25, which equals CAD 23.75. The recommendation is based on the departure time as well as cost and travel time.

Common mistakes and how to avoid them

Comparing a one-way fare for one mode with a return fare for another.

Correction: Check each fare description and calculate the same number of directions for every option.

Calling the cheapest option the best without checking the schedule.

Correction: Check must-haves first, such as whether the mode is available when the traveller needs it.

Treating convenience as exactly the same for every person.

Correction: Explain convenience using the traveller’s needs, such as transfers, pickup time, or carrying items.

Leaving out information that is not listed and assuming it has no effect.

Correction: Mark unknown details clearly. Ask for more information or note how the missing detail could affect the choice.

Lesson summary

Describe the trip and the traveller’s needs before comparing modes.
Compare cost, travel time, and convenience for the same journey.
Use a calculator or spreadsheet to organize and check totals.
Choose an option that meets must-haves, then explain its trade-offs.

Check your understanding

Question 1

A traveller needs a return trip. A train costs CAD 4 per ride and takes 30 minutes each way. A direct ride service costs CAD 25 each way and takes 18 minutes each way. Which comparison is correct?

Train: CAD 4 and 30 minutes; ride service: CAD 25 and 18 minutes.
Train: CAD 8 and 60 minutes; ride service: CAD 50 and 36 minutes.
Train: CAD 8 and 30 minutes; ride service: CAD 50 and 18 minutes.
correctIndex}}

Show answer and explanation

Train: CAD 8 and 60 minutes; ride service: CAD 50 and 36 minutes.

A return trip includes two rides and two one-way travel times. The train totals CAD 8 and 60 minutes; the ride service totals CAD 50 and 36 minutes.

Question 2

A bus costs less than a taxi, but its last departure is before a worker finishes a late shift. What is the best conclusion?

The bus is automatically best because it costs less.
The taxi may be the suitable choice for this trip because it is available after work, though it costs more.
The bus is more convenient because its fare is lower.
correctIndex}}

Show answer and explanation

The taxi may be the suitable choice for this trip because it is available after work, though it costs more.

The bus schedule does not fit the worker’s finishing time. Availability and schedule fit are part of convenience, so the taxi may be the workable option despite its higher cost.

Key terms

Transportation mode: A way to travel, such as a bus, train, taxi, or ride service.
Convenience: How easily an option fits the traveller’s needs and schedule.
Transfer: A change from one vehicle or route to another during a trip.
Trade-off: A benefit or drawback a person accepts when choosing one option over another.

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About this lesson and its review

Published by DoAssignment. This reviewed lesson follows Ontario Grade 11 Mathematics (MEL3E), expectation C3.4. It is a study resource, not an official curriculum publication.

Before publication, content is checked for structure, mathematical or chemical notation, calculations, course boundaries, and readability. Errors can still occur, so corrections are welcomed.

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