GMAT Time Speed Distance Sample Questions & Answers

The Time, Speed, and Distance (TSD) framework is essential for working out various quantitative reasoning items on the GMAT. Grasping how these three parameters connect is vital for addressing queries successfully. Below is an overview of the primary concepts, equations, and methods for tackling TSD problems:

1. Fundamental Connection:

• Distance=Speed×Time
• Speed=Distance/Time
• Time=Distance/Speed

2. Measurement Units:

• Distance may be expressed in meters (m), kilometers (km), miles, and so forth.
• Time may be expressed in seconds (s), minutes (min), hours (h), and so forth.
• Speed is commonly expressed in terms such as meters per second (m/s), kilometers per hour (km/h), miles per hour (mph), and so forth.

3. Unit Transformations:

• To change speed from km/h to m/s: multiply by 5/18
• To change speed from m/s to km/h: multiply by 18/5

4. Relative Velocity:

• When two entities travel in the identical direction, the relative speed equals the difference between their individual speeds.
• Relative Speed=Speed1−Speed2
• When two entities travel in opposing directions, the relative speed equals the sum of their individual speeds.
• Relative Speed=Speed1+Speed2

5. Mean Speed:

• For a journey involving fluctuating speeds, mean speed is determined by dividing the aggregate distance by the aggregate duration.
• Average Speed=Total Distance/Total Time
• If a round-trip journey occurs at differing speeds, the mean speed can be computed via: Average Speed=(2×Speed1×Speed2)/(Speed1+Speed2)

6. Watercraft and River Current:

• Velocity moving downstream (along with the flow): Speedboat+Speedstream
• Velocity moving upstream (against the flow): Speedboat−Speedstream

7. Railway Transport:

• When a locomotive passes a fixed entity, the distance traversed equals the length of the locomotive.
• When a locomotive passes a mobile entity (such as another train), relative velocity and the combined lengths are factored in.

Ashiraj Prep goes beyond mere instruction, steering you through the underlying rationale and tactics that make even the most complex inquiries feel completely natural. Prepare yourself not only to resolve challenges but to do so with greater speed.

Time-Speed-Distance (TSD) inquiries evaluate your proficiency in swiftly resolving motion-based challenges, such as the duration required for an entity to traverse a specific span at a given velocity, or the rate of movement of an item. Time-Speed-Distance problems can initially appear intricate, but with a firm understanding of fundamental equations and regular practice, you will be well-prepared to manage them on exam day. Here are several inquiries to help master the topic more effectively:

Question 1: A car travels at a speed of 60 km/h for 2 hours. How far does the car travel?

Solution:To find the distance, we’ll use the formula:Distance = Speed × Time

Substituting the values:Distance = 60 km/h × 2 hours = 120 km

Answer: The car travels 120 km.

Question 2: A train moves at a speed of 72 km/h. How long will it take to travel 180 km?

Solution:We’ll use the formula:Time = Distance ÷ Speed

Substitute the given values:Time = 180 km ÷ 72 km/h = 2.5 hours

Answer: The train will take 2.5 hours to travel 180 km.

Question 3: A man cycles 30 miles in 3 hours. What is his average speed?

Solution:To calculate the average speed, we’ll use:Speed = Distance ÷ Time

Substitute the values:Speed = 30 miles ÷ 3 hours = 10 miles per hour

Answer: The man's average speed is 10 miles per hour.

Question 4: A bus travels 240 miles in 4 hours. What is its speed?

Solution:We’l apply the same formula for speed:Speed = Distance ÷ Time

Substitute the given values:Speed = 240 miles ÷ 4 hours = 60 miles per hour

Answer: The bus is travelling at 60 miles per hour.

Question 5: If a train travels at 90 km/h for 3 hours, how far will it travel?

Solution:Using the formula:Distance = Speed × Time

Substitute the values:Distance = 90 km/h × 3 hours = 270 km

Answer: The train will travel 270 km.

Question 6: A car takes 5 hours to cover a distance of 500 miles. What is its speed?

Solution:We can calculate the speed using:Speed = Distance ÷ Time

Substitute the values:Speed = 500 miles ÷ 5 hours = 100 miles per hour

Answer: The car's speed is 100 miles per hour.

Question 7: A plane flies from City A to City B in 3 hours, covering a distance of 600 miles. What is its average speed?

Solution:We’ll apply the formula:Speed = Distance ÷ Time

Substitute the values:Speed = 600 miles ÷ 3 hours = 200 miles per hour

Answer: The plane's average speed is 200 miles per hour.

Question 8: A cyclist travels 45 miles in 1.5 hours. What is his speed?

Solution:Using the formula:Speed = Distance ÷ Time

Substitute the values:Speed = 45 miles ÷ 1.5 hours = 30 miles per hour

Answer: The cyclist's speed is 30 miles per hour.

Question 9: If a car covers a distance of 240 km in 3 hours, what is its average speed?

Solution:We use the formula:Speed = Distance ÷ Time

Substitute the values:Speed = 240 km ÷ 3 hours = 80 km/h

Answer: The car's average speed is 80 km/h.

Question 10: A boat moves at 20 km/h in still water. If it travels 100 km downstream in 5 hours, what is the speed of the current?

Solution:Let the speed of the current be ‘x’ km/h. The speed of the boat downstream is (20 + x) km/h. Using the formula:Time = Distance ÷ Speed

Insert the values:5 = 100 ÷ (20 + x)Calculate for x:20 + x = 100 ÷ 520 + x = 20x = 0

Result: The speed of the current is 0 km/h (meaning there was no current).

Problem 11: A cyclist finishes a 36 km trip in 2 hours. What is his speed?

Method:Applying the equation:Speed = Distance ÷ Time

Insert the values:Speed = 36 km ÷ 2 hours = 18 km/h

Result: The speed of the cyclist is 18 km/h.

Problem 12: A train travels at 80 km/h for 5 hours. What distance will it cover?

Method:We apply the equation:Distance = Speed × Time

Insert the values:Distance = 80 km/h × 5 hours = 400 km

Result: The train will cover a distance of 400 km.

Problem 13: A car travels at 60 km/h and takes 4 hours to complete a certain trip. What is the distance covered?

Method:Applying the equation:Distance = Speed × Time

Insert the values:Distance = 60 km/h × 4 hours = 240 km

Result: The distance covered is 240 km.

Problem 14: If a train runs at 75 km/h and journeys for 3.5 hours, how far does it go?

Method:Applying the equation:Distance = Speed × Time

Insert the values:Distance = 75 km/h × 3.5 hours = 262.5 km

Result: The train will go 262.5 km.

Problem 15: A pedestrian walks at 5 km/h. How long will it take him to finish a distance of 20 km?

Method:We can determine the time using the equation:Time = Distance ÷ Speed

Insert the values:Time = 20 km ÷ 5 km/h = 4 hours

Result: It will take him 4 hours to complete the distance.

A crucial ability in tackling Time-Speed-Distance (TSD) questions is grasping and mastering unit conversions. Whether converting miles to kilometres, hours to minutes, or any other standard unit change, the capacity to quickly switch between units is vital for solving these problems correctly. Misunderstanding units or omitting their conversion can easily lead to wrong outcomes, making it vital to handle these conversions accurately and with assurance.

The frequent conversions required on the GMAT include:

• Speed conversions: Converting between kilometres per hour (km/h) and miles per hour (mph), or between metres per second (m/s) and km/h.
• Time conversions: Converting between minutes and hours, or seconds and minutes.
• Distance conversions: Converting between miles, kilometres, metres, and even inches when necessary.

It is beneficial to commit a few standard conversion ratios to memory, such as:

• 1 mile = 1.60934 km
• 1 hour = 60 minutes
• 1 minute = 60 seconds

Growing comfortable with these conversions through regular practice helps prevent confusion during the test and allows you to concentrate on solving the task at hand.

Succeeding in TSD questions demands more than just knowing formulas; it requires building strategies to tackle problems swiftly and precisely. Here are several useful pointers for handling TSD questions on the GMAT:

• Concentrate on fundamental concepts: While working through TSD questions, always make sure you completely grasp the scenario of the problem. This means understanding how time, speed, and distance relate and applying sound reasoning to parse the problem.
• Verify your units: Always pay attention to the units specified in the problem. Ensure that you maintain uniform units throughout the entire question. For example, if a question lists speed in miles per hour but distance in kilometres, convert either the speed or distance to match before proceeding.

• Deconstruct the problem step by step: Word problems can feel intimidating initially, but adopting a structured method simplifies the process. Read the prompt thoroughly, highlight critical details, and break it down into manageable parts prior to calculating.

• Practice with varied scenarios: TSD questions on the GMAT frequently involve different forms of travel, such as automobiles, trains, watercraft, or swimmers. Working through a diverse range of problem styles familiarizes you with various solution techniques, preventing surprises on test day.

• Apply logic and estimate when appropriate: Occasionally, estimations assist in rapidly narrowing down potential answers. If a problem features large figures or intricate data, round the numbers or use approximations to estimate the correct solution. This approach preserves precious time.

• Maintain organization in your work: For complicated questions involving multiple phases, structure your calculations neatly. Jotting down intermediate steps prevents mistakes and ensures you overlook no critical details within the problem.

• Build speed through practice: Increased practice leads to greater swiftness. Time-Speed-Distance questions often demand strict time management, meaning speed matches accuracy in importance. Regularly working through practice exercises builds familiarity with question formats and develops quick pattern recognition.