Question 1

A train travels 288 km in 4 hours. What is its speed in metres per second?

Accepted Answer

Step 1: Calculate speed in km/h using Speed = Distance ÷ Time. Speed = 288 ÷ 4 = 72 km/h. Step 2: Convert km/h to m/s by multiplying by 5/18. Speed = 72 × (5/18) = 360/18 = 20 m/s. Therefore, the answer is 20 m/s.

Question 2

A train travels 240 km at a speed of 60 km/h. If the same train then travels 180 km at a speed of 45 km/h, what is the average speed for the entire journey?

Accepted Answer

Step 1: Calculate time for first part: Distance = 240 km, Speed = 60 km/h, Time₁ = 240/60 = 4 hours. Step 2: Calculate time for second part: Distance = 180 km, Speed = 45 km/h, Time₂ = 180/45 = 4 hours. Step 3: Total distance = 240 + 180 = 420 km. Total time = 4 + 4 = 8 hours. Step 4: Average speed = Total distance / Total time = 420/8 = 52.5 km/h. Therefore, the answer is 52.5 km/h.

Question 3

A train travels 240 km in 4 hours at constant speed. If it needs to cover the same distance in 3 hours, by what percentage must its speed be increased?

Accepted Answer

Step 1: Original speed = 240 ÷ 4 = 60 km/h. Step 2: Required speed = 240 ÷ 3 = 80 km/h. Step 3: Speed increase = 80 − 60 = 20 km/h. Step 4: Percentage increase = (20 ÷ 60) × 100 = 33.33% or 33⅓%. Therefore, the answer is 33⅓%.

Question 4

A train travels 240 km in 4 hours at constant speed. If it needs to cover an additional 180 km at the same speed, how much total time (in hours) will it take to complete the entire journey of 420 km?

Accepted Answer

Step 1: Calculate the train's speed from the first part of the journey: Speed = Distance ÷ Time = 240 ÷ 4 = 60 km/h. Step 2: Calculate total time for the entire 420 km journey: Time = Total Distance ÷ Speed = 420 ÷ 60 = 7 hours. Therefore, the answer is 7 hours.

Question 5

A train travels from Station A to Station B at 60 km/h. On the return journey from B to A, it travels at 40 km/h. If the total time taken for the entire round trip is 10 hours, what is the distance between the two stations?

Accepted Answer

Step 1: Let distance = d km. Time from A to B = d/60 hours. Time from B to A = d/40 hours. Step 2: Total time equation: d/60 + d/40 = 10. Step 3: Find LCM of 60 and 40 = 120. Rewrite: 2d/120 + 3d/120 = 10. Step 4: 5d/120 = 10, so d/24 = 10, thus d = 240 km.

Question 6

A cyclist covers 72 km in 6 hours. How far will he travel in 9 hours at the same speed?

Accepted Answer

Step 1: Find speed using Speed = Distance ÷ Time = 72 ÷ 6 = 12 km/h. Step 2: Find distance for 9 hours using Distance = Speed × Time = 12 × 9 = 108 km. Therefore, the answer is 108 km.

Question 7

A car travels 240 km in 4 hours. What is its average speed in km/h?

Accepted Answer

Step 1: Use the formula Speed = Distance ÷ Time. Step 2: Speed = 240 ÷ 4 = 60 km/h. Therefore, the answer is 60 km/h.

Question 8

A cyclist covers 150 km at a speed of 30 km/h. How much time does the journey take?

Accepted Answer

Step 1: Use the formula Time = Distance ÷ Speed. Step 2: Time = 150 ÷ 30 = 5 hours.

Question 9

Two cities are 360 km apart. A bus travels from City A to City B at 60 km/h. How long does the journey take?

Accepted Answer

Step 1: Use the formula Time = Distance ÷ Speed. Step 2: Time = 360 ÷ 60 = 6 hours. Therefore, the answer is 6 hours.

Question 10

A runner covers 400 metres in 50 seconds. What is his speed in m/s?

Accepted Answer

Step 1: Use the formula Speed = Distance ÷ Time. Step 2: Speed = 400 ÷ 50 = 8 m/s. Therefore, the answer is 8 m/s.

Question 11

A bus travels 180 km in 3 hours. If it increases its speed by 20%, how much distance will it cover in 5 hours at the new speed?

Accepted Answer

Step 1: Calculate original speed. Speed = 180 ÷ 3 = 60 km/h. Step 2: Calculate new speed after 20% increase. New speed = 60 + (20% of 60) = 60 + 12 = 72 km/h. Step 3: Calculate distance at new speed for 5 hours. Distance = 72 × 5 = 360 km.

Question 12

A cyclist travels at 15 km/h for 2 hours, then at 20 km/h for 3 hours. What is the average speed for the entire journey?

Accepted Answer

Step 1: Calculate total distance. Distance in first part = 15 × 2 = 30 km. Distance in second part = 20 × 3 = 60 km. Total distance = 30 + 60 = 90 km. Step 2: Calculate total time = 2 + 3 = 5 hours. Step 3: Average speed = Total distance ÷ Total time = 90 ÷ 5 = 18 km/h.

Question 13

A runner completes 15 km in 1 hour 30 minutes. What is his speed in km/h?

Accepted Answer

Step 1: Convert 1 hour 30 minutes to hours: 30 minutes = 30/60 = 0.5 hours, so total time = 1.5 hours. Step 2: Use Speed = Distance ÷ Time = 15 ÷ 1.5 = 10 km/h. Therefore, the runner's speed is 10 km/h.

Question 14

A bus covers 180 km in 3 hours. If it travels at the same speed, how many hours will it take to cover 420 km?

Accepted Answer

Step 1: Find the speed using Speed = Distance ÷ Time = 180 ÷ 3 = 60 km/h. Step 2: Find the time using Time = Distance ÷ Speed = 420 ÷ 60 = 7 hours. Therefore, the bus takes 7 hours to cover 420 km.

Question 15

A man walks at 5 km/h. How much distance will he cover in 2 hours 24 minutes?

Accepted Answer

Step 1: Convert 2 hours 24 minutes to hours: 24 minutes = 24/60 = 0.4 hours, so total time = 2.4 hours. Step 2: Use Distance = Speed × Time = 5 × 2.4 = 12 km. Therefore, the man covers 12 km.

Question 16

A cyclist covers 72 km in 8 hours. How much distance will he cover in 5 hours at the same speed?

Accepted Answer

Step 1: Find speed using Speed = Distance ÷ Time = 72 ÷ 8 = 9 km/h. Step 2: Find distance using Distance = Speed × Time = 9 × 5 = 45 km. Therefore, the cyclist covers 45 km in 5 hours.

Question 17

A train travels at 90 km/h. How long will it take to cover 360 km?

Accepted Answer

Step 1: Use the formula Time = Distance ÷ Speed. Step 2: Time = 360 ÷ 90 = 4 hours. Therefore, the train takes 4 hours to cover 360 km.

Question 18

A car travels 240 km in 4 hours. What is its average speed in km/h?

Accepted Answer

Step 1: Use the formula Speed = Distance ÷ Time. Step 2: Speed = 240 ÷ 4 = 60 km/h. Therefore, the average speed is 60 km/h.

Question 19

A man walks at 5 km/h and covers a distance in 8 hours. If he walks at 4 km/h, how much time will he take to cover the same distance?

Accepted Answer

Step 1: Find the distance using Distance = Speed × Time = 5 × 8 = 40 km. Step 2: Find new time using Time = Distance ÷ Speed = 40 ÷ 4 = 10 hours. Therefore, the answer is 10 hours.

Question 20

A train covers 450 km at a speed of 90 km/h. How much time does it take?

Accepted Answer

Step 1: Use the formula Time = Distance ÷ Speed. Step 2: Time = 450 ÷ 90 = 5 hours.

Question 21

A train travels at 90 km/h. How many metres does it cover in 10 seconds?

Accepted Answer

Step 1: Convert 90 km/h to m/s using the formula: m/s = km/h × (5/18). Step 2: 90 × (5/18) = 25 m/s. Step 3: Distance = Speed × Time = 25 × 10 = 250 metres. Therefore, the answer is 250 metres.

Question 22

A train travels at 90 km/h for 2 hours, then at 60 km/h for 3 hours. What is the average speed for the entire journey?

Accepted Answer

Step 1: Calculate total distance. Distance in first part = 90 × 2 = 180 km. Distance in second part = 60 × 3 = 180 km. Total distance = 180 + 180 = 360 km. Step 2: Calculate total time = 2 + 3 = 5 hours. Step 3: Average speed = Total distance ÷ Total time = 360 ÷ 5 = 72 km/h.

Question 23

Two runners start from the same point. Runner A runs at 8 m/s and Runner B at 6 m/s. After how many seconds will Runner A be exactly 100 metres ahead of Runner B?

Accepted Answer

Step 1: Relative speed = 8 − 6 = 2 m/s. Step 2: Distance to cover = 100 m. Step 3: Time = Distance ÷ Relative speed = 100 ÷ 2 = 50 seconds.

Question 24

A car travels 180 km in 2.5 hours. A motorcycle travels the same distance in 3 hours. How much faster (in km/h) is the car than the motorcycle?

Accepted Answer

Step 1: Car's speed = 180 ÷ 2.5 = 72 km/h. Step 2: Motorcycle's speed = 180 ÷ 3 = 60 km/h. Step 3: Difference = 72 − 60 = 12 km/h.

Question 25

Two cars start from the same point. Car A travels at 60 km/h and Car B travels at 40 km/h in the same direction. After how many hours will Car A be 80 km ahead of Car B?

Accepted Answer

Step 1: Find the relative speed (rate at which A gains on B): 60 - 40 = 20 km/h. Step 2: Time to gain 80 km at relative speed: Time = Distance ÷ Relative Speed = 80 ÷ 20 = 4 hours.

CTET Paper I Speed Distance Time

CTET Paper I Speed Distance Time — Past Exam Questions

Speed Distance Time— Rules & Concept

Key Points to Remember

Exam-Specific Tips

Speed Distance Time — Practice Questions

60-Second Revision — Speed Distance Time