Circular Track Beginner-Intermediate Worksheet: Focus on common variations practice Circular Track BEGINNER INTERMEDIATE

Level up your Circular Track skills! You're at Worksheet 4 of 10 (33% through this series). This step-up challenge worksheet features 20 beginner-intermediate-level problems with a focus on common variations practice. Topics covered: circular track for competitive exams, how to solve circular track, circular track tricks.

📝 Worksheet 4 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner Intermediate level

What you'll learn in this worksheet:
Your progress through Circular Track
Worksheet 4 of 10 (33% complete)

Question 1

Two runners start from the same point on a circular track of length 509 m. Their speeds are 11 m/s and 12 m/s. If they run in the same direction, when will they meet again?
Step-by-step:
1. Relative speed (same direction) = |12 - 11| = 1 m/s
2. Time to meet = Track length / Relative speed = 509 / 1 = 509.0 seconds

Question 2

A runner runs at 9 m/s on a circular track of length 578 m for 177 seconds. How many laps does he complete?
Step-by-step:
1. Distance covered in 177 seconds = 9 × 177 = 1593 m
2. Number of laps = Distance / Track length = 1593 / 578 = 2.8 laps

Question 3

Two runners start from the same point on a circular track of length 509 m. Their speeds are 8 m/s and 12 m/s. If they run in opposite directions, when will they meet?
Step-by-step:
1. Relative speed (opposite direction) = 8 + 12 = 20 m/s
2. Time to meet = Track length / Relative speed = 509 / 20 = 25.4 seconds

Question 4

Two runners start from the same point on a circular track of length 754 m. Their speeds are 6 m/s and 9 m/s. If they run in the same direction, when will they meet again?
Step-by-step:
1. Relative speed (same direction) = |9 - 6| = 3 m/s
2. Time to meet = Track length / Relative speed = 754 / 3 = 251.3 seconds

Question 5

Two runners start from the same point on a circular track of length 724 m. Their speeds are 11 m/s and 9 m/s. If they run in the same direction, when will they meet again?
Step-by-step:
1. Relative speed (same direction) = |9 - 11| = 2 m/s
2. Time to meet = Track length / Relative speed = 724 / 2 = 362.0 seconds

Question 6

Two runners start from the same point on a circular track of length 605 m. Their speeds are 6 m/s and 11 m/s. If they run in opposite directions, when will they meet?
Step-by-step:
1. Relative speed (opposite direction) = 6 + 11 = 17 m/s
2. Time to meet = Track length / Relative speed = 605 / 17 = 35.6 seconds

Question 7

A runner runs at 8 m/s on a circular track of length 481 m for 72 seconds. How many laps does he complete?
Step-by-step:
1. Distance covered in 72 seconds = 8 × 72 = 576 m
2. Number of laps = Distance / Track length = 576 / 481 = 1.2 laps

Question 8

Two runners start from the same point on a circular track of length 581 m. Their speeds are 9 m/s and 12 m/s. If they run in opposite directions, when will they meet?
Step-by-step:
1. Relative speed (opposite direction) = 9 + 12 = 21 m/s
2. Time to meet = Track length / Relative speed = 581 / 21 = 27.7 seconds

Question 9

Two runners start from the same point on a circular track of length 523 m. Their speeds are 5 m/s and 11 m/s. If they run in the same direction, when will they meet again?
Step-by-step:
1. Relative speed (same direction) = |11 - 5| = 6 m/s
2. Time to meet = Track length / Relative speed = 523 / 6 = 87.2 seconds

Question 10

Two runners start from the same point on a circular track of length 506 m. Their speeds are 10 m/s and 11 m/s. If they run in opposite directions, when will they meet?
Step-by-step:
1. Relative speed (opposite direction) = 10 + 11 = 21 m/s
2. Time to meet = Track length / Relative speed = 506 / 21 = 24.1 seconds

Question 11

A runner runs at 9 m/s on a circular track of length 481 m for 120 seconds. How many laps does he complete?
Step-by-step:
1. Distance covered in 120 seconds = 9 × 120 = 1080 m
2. Number of laps = Distance / Track length = 1080 / 481 = 2.2 laps

Question 12

Two runners start from the same point on a circular track of length 708 m. Their speeds are 8 m/s and 13 m/s. If they run in opposite directions, when will they meet?
Step-by-step:
1. Relative speed (opposite direction) = 8 + 13 = 21 m/s
2. Time to meet = Track length / Relative speed = 708 / 21 = 33.7 seconds

Question 13

A runner runs at 11 m/s on a circular track of length 606 m for 60 seconds. How many laps does he complete?
Step-by-step:
1. Distance covered in 60 seconds = 11 × 60 = 660 m
2. Number of laps = Distance / Track length = 660 / 606 = 1.1 laps

Question 14

Two runners start from the same point on a circular track of length 610 m. Their speeds are 7 m/s and 12 m/s. If they run in the same direction, when will they meet again?
Step-by-step:
1. Relative speed (same direction) = |12 - 7| = 5 m/s
2. Time to meet = Track length / Relative speed = 610 / 5 = 122.0 seconds

Question 15

Two runners start from the same point on a circular track of length 594 m. Their speeds are 12 m/s and 10 m/s. If they run in opposite directions, when will they meet?
Step-by-step:
1. Relative speed (opposite direction) = 12 + 10 = 22 m/s
2. Time to meet = Track length / Relative speed = 594 / 22 = 27.0 seconds

Question 16

Two runners start from the same point on a circular track of length 685 m. Their speeds are 10 m/s and 9 m/s. If they run in opposite directions, when will they meet?
Step-by-step:
1. Relative speed (opposite direction) = 10 + 9 = 19 m/s
2. Time to meet = Track length / Relative speed = 685 / 19 = 36.1 seconds

Question 17

A runner runs at 5 m/s on a circular track of length 683 m for 79 seconds. How many laps does he complete?
Step-by-step:
1. Distance covered in 79 seconds = 5 × 79 = 395 m
2. Number of laps = Distance / Track length = 395 / 683 = 0.6 laps

Question 18

A runner runs at 8 m/s on a circular track of length 415 m for 108 seconds. How many laps does he complete?
Step-by-step:
1. Distance covered in 108 seconds = 8 × 108 = 864 m
2. Number of laps = Distance / Track length = 864 / 415 = 2.1 laps

Question 19

A runner runs at 9 m/s on a circular track of length 427 m for 113 seconds. How many laps does he complete?
Step-by-step:
1. Distance covered in 113 seconds = 9 × 113 = 1017 m
2. Number of laps = Distance / Track length = 1017 / 427 = 2.4 laps

Question 20

Two runners start from the same point on a circular track of length 700 m. Their speeds are 7 m/s and 12 m/s. If they run in the same direction, when will they meet again?
Step-by-step:
1. Relative speed (same direction) = |12 - 7| = 5 m/s
2. Time to meet = Track length / Relative speed = 700 / 5 = 140.0 seconds
Previous Worksheet Next Worksheet