Circular Track: Worksheet 10 - Expert Practice Circular Track EXPERT

Ready to master Circular Track? This accuracy focus 👑 worksheet (10/10) presents 20 expert-level challenges. Focus area: application-based learning. Learn to solve circular track reasoning tricks, handle fast circular track solving, and perfect circular track mastery with our step-by-step solutions.

📝 Worksheet 10 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:

Understand the logic behind fast circular track solving
Learn step-by-step approaches to application-based learning
Achieve mastery with the most difficult problem types
Perfect your speed and accuracy under time pressure
Master circular track reasoning tricks through focused practice

Your progress through Circular Track

Worksheet 10 of 10 (100% complete)

Question 1

Two runners start from the same point on a circular track of length 655 m. Their speeds are 7 m/s and 13 m/s. If they run in opposite directions, when will they meet?

Step-by-step:
1. Relative speed (opposite direction) = 7 + 13 = 20 m/s
2. Time to meet = Track length / Relative speed = 655 / 20 = 32.8 seconds

Question 2

A runner runs at 9 m/s on a circular track of length 790 m for 154 seconds. How many laps does he complete?

Step-by-step:
1. Distance covered in 154 seconds = 9 × 154 = 1386 m
2. Number of laps = Distance / Track length = 1386 / 790 = 1.8 laps

Question 3

Two runners start from the same point on a circular track of length 722 m. Their speeds are 10 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 - 10| = 2 m/s
2. Time to meet = Track length / Relative speed = 722 / 2 = 361.0 seconds

Question 4

Two runners start from the same point on a circular track of length 719 m. Their speeds are 6 m/s and 10 m/s. If they run in opposite directions, when will they meet?

Step-by-step:
1. Relative speed (opposite direction) = 6 + 10 = 16 m/s
2. Time to meet = Track length / Relative speed = 719 / 16 = 44.9 seconds

Question 5

Two runners start from the same point on a circular track of length 422 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 = 422 / 21 = 20.1 seconds

Question 6

Two runners start from the same point on a circular track of length 762 m. Their speeds are 9 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 - 9| = 3 m/s
2. Time to meet = Track length / Relative speed = 762 / 3 = 254.0 seconds

Question 7

Two runners start from the same point on a circular track of length 439 m. Their speeds are 7 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 - 7| = 4 m/s
2. Time to meet = Track length / Relative speed = 439 / 4 = 109.8 seconds

Question 8

Two runners start from the same point on a circular track of length 636 m. Their speeds are 12 m/s and 15 m/s. If they run in the same direction, when will they meet again?

Step-by-step:
1. Relative speed (same direction) = |15 - 12| = 3 m/s
2. Time to meet = Track length / Relative speed = 636 / 3 = 212.0 seconds

Question 9

Two runners start from the same point on a circular track of length 584 m. Their speeds are 7 m/s and 13 m/s. If they run in the same direction, when will they meet again?

Step-by-step:
1. Relative speed (same direction) = |13 - 7| = 6 m/s
2. Time to meet = Track length / Relative speed = 584 / 6 = 97.3 seconds

Question 10

Two runners start from the same point on a circular track of length 584 m. Their speeds are 12 m/s and 13 m/s. If they run in opposite directions, when will they meet?

Step-by-step:
1. Relative speed (opposite direction) = 12 + 13 = 25 m/s
2. Time to meet = Track length / Relative speed = 584 / 25 = 23.4 seconds

Question 11

Two runners start from the same point on a circular track of length 734 m. Their speeds are 11 m/s and 6 m/s. If they run in opposite directions, when will they meet?

Step-by-step:
1. Relative speed (opposite direction) = 11 + 6 = 17 m/s
2. Time to meet = Track length / Relative speed = 734 / 17 = 43.2 seconds

Question 12

Two runners start from the same point on a circular track of length 439 m. Their speeds are 12 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 - 12| = 1 m/s
2. Time to meet = Track length / Relative speed = 439 / 1 = 439.0 seconds

Question 13

Two runners start from the same point on a circular track of length 733 m. Their speeds are 6 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 - 6| = 6 m/s
2. Time to meet = Track length / Relative speed = 733 / 6 = 122.2 seconds

Question 14

A runner runs at 9 m/s on a circular track of length 613 m for 169 seconds. How many laps does he complete?

Step-by-step:
1. Distance covered in 169 seconds = 9 × 169 = 1521 m
2. Number of laps = Distance / Track length = 1521 / 613 = 2.5 laps

Question 15

Two runners start from the same point on a circular track of length 463 m. Their speeds are 11 m/s and 13 m/s. If they run in the same direction, when will they meet again?

Step-by-step:
1. Relative speed (same direction) = |13 - 11| = 2 m/s
2. Time to meet = Track length / Relative speed = 463 / 2 = 231.5 seconds

Question 16

A runner runs at 11 m/s on a circular track of length 695 m for 133 seconds. How many laps does he complete?

Step-by-step:
1. Distance covered in 133 seconds = 11 × 133 = 1463 m
2. Number of laps = Distance / Track length = 1463 / 695 = 2.1 laps

Question 17

Two runners start from the same point on a circular track of length 739 m. Their speeds are 9 m/s and 8 m/s. If they run in the same direction, when will they meet again?

Step-by-step:
1. Relative speed (same direction) = |8 - 9| = 1 m/s
2. Time to meet = Track length / Relative speed = 739 / 1 = 739.0 seconds

Question 18

Two runners start from the same point on a circular track of length 437 m. Their speeds are 11 m/s and 10 m/s. If they run in opposite directions, when will they meet?

Step-by-step:
1. Relative speed (opposite direction) = 11 + 10 = 21 m/s
2. Time to meet = Track length / Relative speed = 437 / 21 = 20.8 seconds

Question 19

Two runners start from the same point on a circular track of length 488 m. Their speeds are 11 m/s and 8 m/s. If they run in opposite directions, when will they meet?

Step-by-step:
1. Relative speed (opposite direction) = 11 + 8 = 19 m/s
2. Time to meet = Track length / Relative speed = 488 / 19 = 25.7 seconds

Question 20

A runner runs at 10 m/s on a circular track of length 422 m for 118 seconds. How many laps does he complete?

Step-by-step:
1. Distance covered in 118 seconds = 10 × 118 = 1180 m
2. Number of laps = Distance / Track length = 1180 / 422 = 2.8 laps

🏆 Congratulations! You've mastered Circular Track - all 10 worksheets completed!

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