Races and Games Practice Questions

5 questions per page • Detailed step-by-step solutions

Question 6
Easy
Prem beats Qasim by 40 m or 7 seconds in a 1 km race. How long does Prem take to finish?
A 175 s
B 182 s
C 161 s
D 168 s
Correct Answer: D

Explanation:

Qasim covers 40 m in 7 s, so his speed = 40/7 m/s. Qasim's time for 1000 m = 1000 × 7/40 = 175 s. Prem finishes 7 s earlier: 175 − 7 = 168 s.
Question 7
Hard
A beats B by 100 m in a 1 km race. In the next race over the same distance, A runs at 8/9 of his earlier speed while B keeps his speed. Who wins and by how many metres?
A Dead heat
B A, by 11.11 m
C B, by 12.35 m
D B, by 11.11 m
Correct Answer: C

Explanation:

Take A's old speed as 1: B's speed = 0.9 and A's new speed = 8/9 ≈ 0.889, so B is now faster. When B finishes 1000 m, A has run 1000 × (8/9)/0.9 = 987.65 m. B wins by 1000 − 987.65 = 12.35 m.
Question 8
Medium
In a game of 50, Tushar can give Umang 10 points, and in a game of 60, Umang can give Vivek 10 points. How many points can Tushar give Vivek in a game of 75?
A 30 points
B 37.5 points
C 20 points
D 25 points
Correct Answer: D

Explanation:

Umang scores 40/50 = 0.8 of Tushar's points; Vivek scores 50/60 = 5/6 of Umang's. Vivek's rate = 0.8 × 5/6 = 2/3 of Tushar's, so in a game of 75 he scores 50. Tushar can give Vivek 75 − 50 = 25 points.
Question 9
Medium
In a 1200 m race, Garv beats Hiten by 12 seconds, and Hiten beats Inder by 60 m. If Hiten runs at 6 m/s, by how many seconds does Garv beat Inder?
A 22 s
B 22.53 s
C 21.47 s
D 24 s
Correct Answer: B

Explanation:

Hiten's time = 1200/6 = 200 s, so Garv's = 188 s. Inder covers 1140 m in 200 s, i.e. 5.7 m/s, so his time = 1200/5.7 = 210.53 s. Garv beats Inder by 210.53 − 188 = 22.53 s.
Question 10
Medium
In selection trials for a school relay team, Neha beats Pooja by 50 m in a 500 m race, and Pooja beats Fatima by 40 m over the same distance. By how many metres would Neha beat Fatima in a 500 m race?
A 90 m
B 80 m
C 86 m
D 84 m
Correct Answer: C

Explanation:

Distances covered in equal times: Neha : Pooja = 500 : 450 and Pooja : Fatima = 500 : 460. When Neha runs 500 m, Pooja runs 450 m, and in that time Fatima runs 450 × 460/500 = 414 m. Neha beats Fatima by 500 − 414 = 86 m (not 50 + 40 = 90 m).