"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: $$\text{Average Speed} = \frac{2 \times (Speed_1 \times Speed_2)}{Speed_1 + Speed_2}$$
• 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 = $\frac{2 \times (Speed_1 \times Speed_2)}{Speed_1 + Speed_2}$
• 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