This set contains Races and Circular Motion Questions with Solutions — Set 1 (Q1 to Q10) covering a mix of question types and difficulty levels — from basic to advanced — exactly as asked in real competitive exams.
Solutions are written in a simple, step-by-step notebook style for easy self-study and quick understanding. Each solution is broken down step by step so even the toughest question feels easy. These questions are hand-picked for students preparing for SSC CGL, SSC CHSL, CAT, Bank PO, Bank Clerk, UPSC CSAT, Railway RRB, AMCAT, eLitmus, TCS NQT and all campus placement aptitude tests. International students preparing for GRE, GMAT, SAT, ACT, MAT and all Numerical Reasoning Tests will find these equally useful.
✏️ Attempt each question on your own first — then check the solution below.
Races and Circular Motion Questions 1 to 10 with Solutions
1. In a 600 m race A beats B by 60 m and in a race of 500 m B beats C by 25 m. By how many metres will A beat C in a 400 m race.
2. In a 100 m race, A runs 2.5 m/sec. If A gives B a start of 10 m and still beats him by 5 sec. Find the speed of B.
3. A runs 100 m in 15 seconds and B runs the same distance in 20 seconds. By what distance will A beat b in 100 m race.
4. In a linear race of 1000m, A beats B by 50m or 5 sec. What is the difference between the speeds of A and B ?
5. In a 2100 m race A reaches finish point in 55 sec, while B reaches the finish point in 77 sec. By how much distance A beats B?
6. In a race of 100 m, A beats B by 20 m and B beats C by 20 m. By how much distance does A beat C ?
7. In a 1800 m race A beats B by 300 m and B beats C by 1000 m. By how much distance does A beat C ?
8. In a 1200 m race, bike A beats bike B by 100 m. Bike B beats bike C by 100 m in a 600 m race. If bike A beats bike C by 30 sec in a 720 m race then what is the speed of bike C ?
9. In a linear race of 400 m, A can beat B by 100 m and in a race of 500 m, B cacn beat C by 100 m. By how much metres will A beat C in a race of 200 m ?
10. In a 150 m race, if A gets a 5 m headstart, then he would beat B by 35 m. If B gets a 25 m headstart in a 100 m race then who will win the race and by how many metres ?
Solutions — Races and Circular Motion Questions 1 to 10
1. In a 600 m race A beats B by 60 m and in a race of 500 m B beats C by 25 m. By how many metres will A beat C in a 400 m race.
Sol:
2. In a 100 m race, A runs 2.5 m/sec. If A gives B a start of 10 m and still beats him by 5 sec. Find the speed of B.
Sol:
time taken by A to completer the race = \(\frac{{10}}{{2.5}}\) = 40 sec
B is beaten by 5 sec ⟹ time taken by B to completer race = 40 + 5 = 45 sec
& distance covered by B = 100 – 10 = 90 m
∴ speed of B = \(\frac{{90}}{{45}}\) = 2m/sec Answer
3. A runs 100 m in 15 seconds and B runs the same distance in 20 seconds. By what distance will A beat b in 100 m race.
Sol:
Speed of B = \(\frac{{1000}}{{20}}\) = 5 m/sec
A reaches end point in 15 sec. At that time B will cover a distance of 15 × 5 = 75 m
∴ A will beat B by 100 – 75 = 25m Answer
4. In a linear race of 1000m, A beats B by 50m or 5 sec. What is the difference between the speeds of A and B ?
Sol:
∴ Speed of B = \(\frac{{50}}{5}\) = 10 m/sec
time taken by B = \(\frac{{1000}}{9}\) = 100 sec
Since A beats B by 5 sec ⟹ A takes 5 sec less than B
∴ time taken by A = 100 – 5 = 95 sec
speed of A = \(\frac{{1000}}{{95}}\) = \(\frac{{200}}{19}\)
∴ required difference = speed of A – speed of B = \(\frac{{200}}{{19}}\) – 10 = \(\frac{{10}}{{19}}\) sec Answer
5. In a 2100 m race A reaches finish point in 55 sec, while B reaches the finish point in 77 sec. By how much distance A beats B ?
Sol:
Speed of B = \(\frac{{2100}}{{77}}\) m/sec
Since A reaches end point first in 55 sec ⟹ In this time B will run distance = \(\frac{{2100}}{{77}} \times 55\) = 1500 m
∴ A beats B by 2100 – 1500 = 600 m Answer
6. In a race of 100 m, A beats B by 20 m and B beats C by 20 m. By how much distance does A beat C ?
Sol:
7. In a 1800 m race A beats B by 300 m and B beats C by 1000 m. By how much distance does A beat C ?
Sol:
8. In a 1200 m race, bike A beats bike B by 100 m. Bike B beats bike C by 100 m in a 600 m race. If bike A beats bike C by 30 sec in a 720 m race then what is the speed of bike C ?
Sol:
∴ C is beaten by 170 m or 30 sec
∴ Speed of C = \(\frac{{170}}{{30}}\) = \(\frac{{17}}{3}\) m/sec Answer
9. In a linear race of 400 m, A can beat B by 100 m and in a race of 500 m, B cacn beat C by 100 m. By how much metres will A beat C in a race of 200 m ?
Sol:
10. In a 150 m race, if A gets a 5 m headstart, then he would beat B by 35 m. If B gets a 25 m headstart in a 100 m race then who will win the race and by how many metres ?
Sol:
In t time distance covered by A = 150 – 5 = 145 m
In t time distance covered by B = 150 – 35 = 115 m
this means in the same time if A travells 29m, B will travell 23 m.
B will travel 75 m in \(\frac{{75}}{{23}}\) time & in this time A will travel = \(\frac{{75}}{{23}}\)×29 = 94.56 m i.e. < 100
So B will finish the race first.
∴ B will win the race by 100 – 94.56 = 5.44 m Answer
✅ Well done on completing Set 1!
Continue practising with Races and Circular Motion Questions 11 to 20 → Set 2 or revisit the Races and Circular Motion Concept Page to strengthen your formulas and tricks before moving ahead.
Consistent practice is the key to mastering races and circular motion for SSC CGL, SSC CHSL, CAT, Bank PO, Bank Clerk, UPSC CSAT, Railway RRB, AMCAT, eLitmus, TCS NQT and international exams including GRE, GMAT, SAT, ACT, MAT and all Numerical Reasoning Tests. Want to understand the concept better? Read about Circular Motion on Wikipedia before attempting the next set.
This page is part of our complete series of races and circular motion questions with solutions for competitive exams — covering every question type from basic to advanced so you can build speed, accuracy and confidence. Practising these questions regularly will also strengthen your core races and circular motion concept before your exam day.