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Circular Track - Intermediate Level: tricky scenarios handling Circular Track INTERMEDIATE

This expert challenge 📈 worksheet focuses on Circular Track - a key topic in Distance Logic. You'll solve 20 intermediate-level problems (Worksheet 5 of 10). The primary focus is on tricky scenarios handling. Master how to solve circular track, circular track tricks, and circular track shortcut methods through systematic practice.

📝 Worksheet 5 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Circular Track
Worksheet 5 of 10 (44% complete)

Question 1

Two runners start from the same point on a circular track of length 507 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 = 507 / 17 = 29.8 seconds

Question 2

Two runners start from the same point on a circular track of length 541 m. Their speeds are 7 m/s and 8 m/s. If they run in opposite directions, when will they meet?
Step-by-step:
1. Relative speed (opposite direction) = 7 + 8 = 15 m/s
2. Time to meet = Track length / Relative speed = 541 / 15 = 36.1 seconds

Question 3

A runner runs at 5 m/s on a circular track of length 542 m for 180 seconds. How many laps does he complete?
Step-by-step:
1. Distance covered in 180 seconds = 5 × 180 = 900 m
2. Number of laps = Distance / Track length = 900 / 542 = 1.7 laps

Question 4

A runner runs at 9 m/s on a circular track of length 798 m for 132 seconds. How many laps does he complete?
Step-by-step:
1. Distance covered in 132 seconds = 9 × 132 = 1188 m
2. Number of laps = Distance / Track length = 1188 / 798 = 1.5 laps

Question 5

A runner runs at 6 m/s on a circular track of length 645 m for 134 seconds. How many laps does he complete?
Step-by-step:
1. Distance covered in 134 seconds = 6 × 134 = 804 m
2. Number of laps = Distance / Track length = 804 / 645 = 1.2 laps

Question 6

A runner runs at 8 m/s on a circular track of length 640 m for 113 seconds. How many laps does he complete?
Step-by-step:
1. Distance covered in 113 seconds = 8 × 113 = 904 m
2. Number of laps = Distance / Track length = 904 / 640 = 1.4 laps

Question 7

Two runners start from the same point on a circular track of length 456 m. Their speeds are 6 m/s and 15 m/s. If they run in opposite directions, when will they meet?
Step-by-step:
1. Relative speed (opposite direction) = 6 + 15 = 21 m/s
2. Time to meet = Track length / Relative speed = 456 / 21 = 21.7 seconds

Question 8

Two runners start from the same point on a circular track of length 434 m. Their speeds are 5 m/s and 15 m/s. If they run in opposite directions, when will they meet?
Step-by-step:
1. Relative speed (opposite direction) = 5 + 15 = 20 m/s
2. Time to meet = Track length / Relative speed = 434 / 20 = 21.7 seconds

Question 9

Two runners start from the same point on a circular track of length 522 m. Their speeds are 10 m/s and 15 m/s. If they run in opposite directions, when will they meet?
Step-by-step:
1. Relative speed (opposite direction) = 10 + 15 = 25 m/s
2. Time to meet = Track length / Relative speed = 522 / 25 = 20.9 seconds

Question 10

Two runners start from the same point on a circular track of length 467 m. Their speeds are 9 m/s and 8 m/s. If they run in opposite directions, when will they meet?
Step-by-step:
1. Relative speed (opposite direction) = 9 + 8 = 17 m/s
2. Time to meet = Track length / Relative speed = 467 / 17 = 27.5 seconds

Question 11

Two runners start from the same point on a circular track of length 709 m. Their speeds are 12 m/s and 14 m/s. If they run in opposite directions, when will they meet?
Step-by-step:
1. Relative speed (opposite direction) = 12 + 14 = 26 m/s
2. Time to meet = Track length / Relative speed = 709 / 26 = 27.3 seconds

Question 12

Two runners start from the same point on a circular track of length 548 m. Their speeds are 5 m/s and 8 m/s. If they run in opposite directions, when will they meet?
Step-by-step:
1. Relative speed (opposite direction) = 5 + 8 = 13 m/s
2. Time to meet = Track length / Relative speed = 548 / 13 = 42.2 seconds

Question 13

Two runners start from the same point on a circular track of length 660 m. Their speeds are 11 m/s and 13 m/s. If they run in opposite directions, when will they meet?
Step-by-step:
1. Relative speed (opposite direction) = 11 + 13 = 24 m/s
2. Time to meet = Track length / Relative speed = 660 / 24 = 27.5 seconds

Question 14

A runner runs at 8 m/s on a circular track of length 735 m for 148 seconds. How many laps does he complete?
Step-by-step:
1. Distance covered in 148 seconds = 8 × 148 = 1184 m
2. Number of laps = Distance / Track length = 1184 / 735 = 1.6 laps

Question 15

Two runners start from the same point on a circular track of length 760 m. Their speeds are 10 m/s and 12 m/s. If they run in opposite directions, when will they meet?
Step-by-step:
1. Relative speed (opposite direction) = 10 + 12 = 22 m/s
2. Time to meet = Track length / Relative speed = 760 / 22 = 34.5 seconds

Question 16

Two runners start from the same point on a circular track of length 517 m. Their speeds are 7 m/s and 10 m/s. If they run in opposite directions, when will they meet?
Step-by-step:
1. Relative speed (opposite direction) = 7 + 10 = 17 m/s
2. Time to meet = Track length / Relative speed = 517 / 17 = 30.4 seconds

Question 17

Two runners start from the same point on a circular track of length 719 m. Their speeds are 5 m/s and 10 m/s. If they run in opposite directions, when will they meet?
Step-by-step:
1. Relative speed (opposite direction) = 5 + 10 = 15 m/s
2. Time to meet = Track length / Relative speed = 719 / 15 = 47.9 seconds

Question 18

Two runners start from the same point on a circular track of length 784 m. Their speeds are 5 m/s and 15 m/s. If they run in opposite directions, when will they meet?
Step-by-step:
1. Relative speed (opposite direction) = 5 + 15 = 20 m/s
2. Time to meet = Track length / Relative speed = 784 / 20 = 39.2 seconds

Question 19

Two runners start from the same point on a circular track of length 722 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 = 722 / 19 = 38.0 seconds

Question 20

A runner runs at 6 m/s on a circular track of length 437 m for 132 seconds. How many laps does he complete?
Step-by-step:
1. Distance covered in 132 seconds = 6 × 132 = 792 m
2. Number of laps = Distance / Track length = 792 / 437 = 1.8 laps
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