"10 Must-Know Time, Speed, and Distance MCQs for Competitive Exams"

 


1. Time, Speed, and Distance - 10 MCQs

  1. A car travels 150 km in 3 hours. What is its speed?

    • a) 30 km/h
    • b) 50 km/h
    • c) 60 km/h
    • d) 70 km/h
      Answer: c) 60 km/h
  2. A train 300 m long passes a pole in 15 seconds. What is the speed of the train?

    • a) 15 m/s
    • b) 20 m/s
    • c) 25 m/s
    • d) 30 m/s
      Answer: b) 20 m/s
  3. Two cars start from the same point and travel in opposite directions at 60 km/h and 40 km/h, respectively. How far apart will they be after 2 hours?

    • a) 180 km
    • b) 200 km
    • c) 220 km
    • d) 240 km
      Answer: b) 200 km
  4. A man walking at 6 km/h reaches his destination 10 minutes late. If he had walked at 8 km/h, he would have reached 10 minutes earlier. What is the distance?

    • a) 10 km
    • b) 12 km
    • c) 15 km
    • d) 8 km
      Answer: d) 8 km
  5. Two trains are moving towards each other at speeds of 90 km/h and 60 km/h, respectively. If the initial distance between them is 450 km, after how much time will they meet?

    • a) 2 hours
    • b) 3 hours
    • c) 4 hours
    • d) 5 hours
      Answer: b) 3 hours
  6. A cyclist covers a certain distance in 2 hours at a speed of 15 km/h. How long will it take to cover the same distance at a speed of 25 km/h?

    • a) 1 hour
    • b) 1.2 hours
    • c) 1.5 hours
    • d) 2 hours
      Answer: c) 1.2 hours
  7. A boat covers 24 km upstream in 6 hours. If the speed of the boat in still water is 10 km/h, what is the speed of the current?

    • a) 4 km/h
    • b) 6 km/h
    • c) 2 km/h
    • d) 5 km/h
      Answer: c) 2 km/h
  8. A plane flies from city A to city B at a speed of 600 km/h and returns at 400 km/h. What is the average speed for the entire journey?

    • a) 450 km/h
    • b) 480 km/h
    • c) 500 km/h
    • d) 550 km/h
      Answer: c) 480 km/h
  9. A man covers half the distance at 20 km/h and the remaining half at 40 km/h. Find the average speed.

    • a) 26.67 km/h
    • b) 30 km/h
    • c) 28.57 km/h
    • d) 32 km/h
      Answer: c) 26.67 km/h
  10. A car takes 4 hours to travel a certain distance at a speed of 60 km/h. How long will it take to travel the same distance at 80 km/h?

  • a) 3 hours
  • b) 2.5 hours
  • c) 3.5 hours
  • d) 2 hours
    Answer: a) 3 hours


Here are 10 Time, Speed, and Distance MCQs with step-by-step shortcuts for each question:

1. A car travels 150 km in 3 hours. What is its speed?

Shortcut:

  • Use the formula Speed = Distance ÷ Time
  • Speed = 150 ÷ 3 = 50 km/h

Answer: b) 50 km/h


2. A train 300 m long passes a pole in 15 seconds. What is the speed of the train?

Shortcut:

  • Speed = Distance ÷ Time
  • Speed = 300 m ÷ 15 sec = 20 m/s

Answer: b) 20 m/s


3. Two cars start from the same point and travel in opposite directions at 60 km/h and 40 km/h, respectively. How far apart will they be after 2 hours?

Shortcut:

  • For cars moving in opposite directions, add their speeds.
  • Total speed = 60 + 40 = 100 km/h
  • Distance = Speed × Time = 100 × 2 = 200 km

Answer: b) 200 km


4. A man walking at 6 km/h reaches his destination 10 minutes late. If he had walked at 8 km/h, he would have reached 10 minutes earlier. What is the distance?

Shortcut:

  • Time difference is 20 minutes = 1/3 hours
  • Distance = (Product of Speeds × Time difference) ÷ Speed difference
  • Distance = (6 × 8 × 1/3) ÷ (8 - 6) = 48/6 = 8 km

Answer: d) 8 km


5. Two trains are moving towards each other at speeds of 90 km/h and 60 km/h, respectively. If the initial distance between them is 450 km, after how much time will they meet?

Shortcut:

  • Relative speed = 90 + 60 = 150 km/h
  • Time = Distance ÷ Relative speed = 450 ÷ 150 = 3 hours

Answer: b) 3 hours


6. A cyclist covers a certain distance in 2 hours at a speed of 15 km/h. How long will it take to cover the same distance at a speed of 25 km/h?

Shortcut:

  • Distance = Speed × Time
  • Distance = 15 × 2 = 30 km
  • New time = Distance ÷ New speed = 30 ÷ 25 = 1.2 hours

Answer: b) 1.2 hours


7. A boat covers 24 km upstream in 6 hours. If the speed of the boat in still water is 10 km/h, what is the speed of the current?

Shortcut:

  • Speed upstream = Distance ÷ Time = 24 ÷ 6 = 4 km/h
  • Speed of current = Speed in still water - Speed upstream
  • Speed of current = 10 - 4 = 6 km/h

Answer: a) 6 km/h


8. A plane flies from city A to city B at a speed of 600 km/h and returns at 400 km/h. What is the average speed for the entire journey?

Shortcut:

  • Use the average speed formula for a round trip: Average Speed=2×(Speed1×Speed2)Speed1+Speed2\text{Average Speed} = \frac{2 \times (Speed_1 \times Speed_2)}{Speed_1 + Speed_2}
  • Average speed = (2 × 600 × 400) ÷ (600 + 400) = 480 km/h

Answer: b) 480 km/h


9. A man covers half the distance at 20 km/h and the remaining half at 40 km/h. Find the average speed.

Shortcut:

  • Average Speed for half distances = 2×(Speed1×Speed2)Speed1+Speed2\frac{2 \times (Speed_1 \times Speed_2)}{Speed_1 + Speed_2}
  • Average speed = (2 × 20 × 40) ÷ (20 + 40) = 1600 ÷ 60 = 26.67 km/h

Answer: a) 26.67 km/h


10. A car takes 4 hours to travel a certain distance at a speed of 60 km/h. How long will it take to travel the same distance at 80 km/h?

Shortcut:

  • Distance = Speed × Time = 60 × 4 = 240 km
  • New time = Distance ÷ New speed = 240 ÷ 80 = 3 hours

Answer: a) 3 hours

Comments

Popular posts from this blog

How to Use Python for Creating Anime Characters (Including Pokémon and Shin Chan) with Colorful Sample Code