Question 1

Two runners start from the same point on a circular track of length 400 m. Runner A runs at 8 m/s and Runner B runs at 6 m/s in the same direction. After how many seconds will Runner A lap Runner B for the first time?

Accepted Answer

Step 1: Relative speed = 8 - 6 = 2 m/s (since they run in the same direction). Step 2: For A to lap B, A must cover one full lap more than B, which is 400 m. Step 3: Time = Distance ÷ Relative Speed = 400 ÷ 2 = 200 seconds.

Question 2

Two cyclists start from opposite ends of a circular track of 600 m. They cycle towards each other at speeds of 10 m/s and 14 m/s respectively. In how many seconds will they meet for the first time?

Accepted Answer

Step 1: Since they move towards each other (opposite directions), relative speed = 10 + 14 = 24 m/s. Step 2: For first meeting, combined distance covered = track length = 600 m. Step 3: Time = 600 ÷ 24 = 25 seconds.

Question 3

Two athletes start from the same point on a circular track of 1200 m and run in opposite directions at speeds of 6 m/s and 9 m/s. After how many seconds will they meet for the second time?

Accepted Answer

Step 1: Relative speed = 6 + 9 = 15 m/s (opposite directions). Step 2: For first meeting, they cover combined distance = 1200 m. Time for first meeting = 1200 ÷ 15 = 80 seconds. Step 3: For second meeting, they must cover combined distance = 2 × 1200 = 2400 m. Time for second meeting = 2400 ÷ 15 = 160 seconds.

Question 4

A man runs around a circular track of circumference 500 m at a constant speed of 5 m/s. How many complete laps will he finish in 10 minutes?

Accepted Answer

Step 1: Convert time to seconds: 10 minutes = 10 × 60 = 600 seconds. Step 2: Distance covered = Speed × Time = 5 × 600 = 3000 m. Step 3: Number of laps = Total distance ÷ Circumference = 3000 ÷ 500 = 6 laps.

Question 5

Two friends start running from the same point on a circular track of 800 m in the same direction. Friend X runs at 12 m/s and Friend Y runs at 8 m/s. How much distance (in metres) will Friend Y have covered when Friend X laps him for the first time?

Accepted Answer

Step 1: Relative speed = 12 - 8 = 4 m/s. Step 2: Time for X to lap Y = 800 ÷ 4 = 200 seconds. Step 3: Distance covered by Y = Speed of Y × Time = 8 × 200 = 1600 m.

Question 6

Two joggers start from the same point on a circular track of 800 metres. Jogger X runs at 5 m/s and Jogger Y runs at 3 m/s in opposite directions. How many times will they meet in 200 seconds?

Accepted Answer

Step 1: Since they run in opposite directions, combined speed = 5 + 3 = 8 m/s. Step 2: Time to meet once = 800 ÷ 8 = 100 seconds. Step 3: In 200 seconds, number of meetings = 200 ÷ 100 = 2 times.

Question 7

Two athletes start from the same point on a circular track of 360 metres. Athlete M runs at 9 m/s and Athlete N runs at 6 m/s in the same direction. What is the time interval (in seconds) between their first and second meetings?

Accepted Answer

Step 1: Relative speed = 9 - 6 = 3 m/s. Step 2: Time for first meeting (first lapping) = 360 ÷ 3 = 120 seconds. Step 3: Time for second meeting (second lapping) = (2 × 360) ÷ 3 = 240 seconds. Step 4: Time interval between first and second meetings = 240 - 120 = 120 seconds.

Question 8

On a circular track of 1200 metres, Runner P takes 40 seconds to complete one lap while Runner Q takes 60 seconds. Starting together from the same point in the same direction, after how many seconds will P be exactly 2 laps ahead of Q?

Accepted Answer

Step 1: Speed of P = 1200 ÷ 40 = 30 m/s. Step 2: Speed of Q = 1200 ÷ 60 = 20 m/s. Step 3: Relative speed = 30 - 20 = 10 m/s. Step 4: For P to be 2 laps ahead, P must gain 2 × 1200 = 2400 metres on Q. Step 5: Time = 2400 ÷ 10 = 240 seconds.

Question 9

Two cyclists start from opposite ends of a circular track of circumference 600 metres and cycle towards each other. The first cyclist travels at 12 m/s and the second at 18 m/s. How many seconds will it take for them to meet for the second time?

Accepted Answer

Step 1: For the first meeting, they together cover the full track length once. Step 2: Combined speed = 12 + 18 = 30 m/s. Step 3: Time for first meeting = 600 ÷ 30 = 20 seconds. Step 4: For the second meeting, they together cover the track length twice (600 × 2 = 1200 m). Step 5: Time for second meeting = 1200 ÷ 30 = 40 seconds.

Question 10

Two runners A and B start running on a circular track of length 400 metres at the same time from the same point. A runs at 8 m/s and B runs at 6 m/s in the same direction. After how many seconds will A lap B for the first time?

Accepted Answer

Step 1: For A to lap B, A must gain one full lap (400 m) on B. Step 2: Relative speed = 8 - 6 = 2 m/s. Step 3: Time = Distance ÷ Relative Speed = 400 ÷ 2 = 200 seconds.

Question 11

A jogger runs on a circular track of 400 m at a constant speed of 8 m/s. A stationary observer is positioned at a fixed point on the track. The jogger passes the observer every 50 seconds. What is the jogger's actual speed?

Accepted Answer

Step 1: If the jogger passes the observer every 50 seconds, the jogger completes one full lap in 50 seconds. Step 2: Distance covered in 50 seconds = 400 m (one lap). Step 3: Speed = Distance ÷ Time = 400 ÷ 50 = 8 m/s. Step 4: This matches the given speed of 8 m/s, confirming consistency. However, the question is testing whether students can verify: if speed is 8 m/s and track is 400 m, time per lap = 400 ÷ 8 = 50 seconds ✓. The actual speed is 8 m/s. Therefore, answer is 8 m/s.

Question 12

Two cyclists start from opposite ends of a circular track of circumference 600 m. They cycle towards each other at speeds of 12 m/s and 8 m/s respectively. They meet for the second time after how many seconds from the start?

Accepted Answer

Step 1: When two objects move towards each other on a circular track from opposite ends, they first meet after covering the full circumference together. Step 2: Combined speed = 12 + 8 = 20 m/s. Step 3: Time to first meeting = 600 ÷ 20 = 30 seconds. Step 4: After the first meeting, they must cover another full circumference (600 m) together to meet again. Step 5: Time for second meeting = 2 × 30 = 60 seconds. Therefore, answer is 60 seconds.

Question 13

A and B run on a circular track of 500 m. A runs at 10 m/s and B runs at 6 m/s, both in the same direction starting from the same point. How many times will A lap B in 10 minutes?

Accepted Answer

Step 1: Convert time: 10 minutes = 600 seconds. Step 2: Distance covered by A = 10 × 600 = 6000 m. Step 3: Distance covered by B = 6 × 600 = 3600 m. Step 4: Net distance gained by A over B = 6000 − 3600 = 2400 m. Step 5: Number of laps = 2400 ÷ 500 = 4.8 laps. Step 6: Since we count complete laps only, A laps B exactly 4 times. Therefore, answer is 4.

Question 14

Two athletes P and Q start from the same point on a circular track of 800 m. P runs at 16 m/s and Q runs at 12 m/s in the same direction. After P completes 5 full laps, how many complete laps will Q have completed?

Accepted Answer

Step 1: Distance for P to complete 5 laps = 5 × 800 = 4000 m. Step 2: Time taken by P = 4000 ÷ 16 = 250 seconds. Step 3: In 250 seconds, distance covered by Q = 12 × 250 = 3000 m. Step 4: Number of complete laps by Q = 3000 ÷ 800 = 3.75 laps. Step 5: Complete laps = 3 (we count only full laps). Therefore, answer is 3.

Question 15

On a circular track of 1200 m, two runners X and Y start from the same point at the same time. X runs at 15 m/s clockwise and Y runs at 9 m/s counter-clockwise. After how many seconds will they meet for the third time?

Accepted Answer

Step 1: When runners move in opposite directions on a circular track, their relative speed is the sum of their speeds. Step 2: Relative speed = 15 + 9 = 24 m/s. Step 3: For the first meeting, they together cover the full circumference: Time = 1200 ÷ 24 = 50 seconds. Step 4: For each subsequent meeting, they must together cover another full circumference. Step 5: Time for nth meeting = n × (1200 ÷ 24) = n × 50 seconds. Step 6: For third meeting, time = 3 × 50 = 150 seconds. Therefore, answer is 150 seconds.

SSC GD Constable Circular Track & Meeting

Circular Track & Meeting— Rules & Concept

Key Points to Remember

Exam-Specific Tips

Circular Track & Meeting — Practice Questions

60-Second Revision — Circular Track & Meeting