Races and Games Practice Questions

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

Question 16
Medium
Three runners on a 720 m track take 2 min, 3 min and 4 min per lap respectively. If they start together from the starting line, how many laps will the fastest runner have completed when all three first meet again at the starting line?
A 4 laps
B 6 laps
C 3 laps
D 12 laps
Correct Answer: B

Explanation:

They meet at the start after LCM(2, 3, 4) = 12 min. The fastest runner takes 2 min per lap. In 12 min he completes 12 ÷ 2 = 6 laps.
Question 17
Easy
In a 1.5 km horse race at a Pune turf club, Toofan finishes in 1 min 30 s while Badal takes 1 min 36 s. By how many metres does Toofan beat Badal?
A 100 m
B 93.75 m
C 96 m
D 90 m
Correct Answer: B

Explanation:

Toofan's time = 90 s and Badal's = 96 s; Badal's speed = 1500/96 = 15.625 m/s. When Toofan finishes, Badal has run 15.625 × 90 = 1406.25 m. Toofan wins by 1500 − 1406.25 = 93.75 m.
Question 18
Medium
Nikhil concedes 15 points to Om in 75-point games, while Om concedes 12 points to Pawan in 60-point games. What handicap should Nikhil concede to Pawan in a 100-point game?
A 27 points
B 40 points
C 36 points
D 32 points
Correct Answer: C

Explanation:

Om scores 60/75 = 0.8 of Nikhil's points; Pawan scores 48/60 = 0.8 of Om's. Pawan scores 0.8 × 0.8 = 0.64 of Nikhil's points, i.e. 64 in a game of 100. Nikhil can give Pawan 100 − 64 = 36 points.
Question 19
Easy
When Tara finishes a 400 m race, Uma has covered only 92% of the distance. At the same speeds, by how many metres would Tara win a 1500 m race?
A 32 m
B 92 m
C 120 m
D 130.43 m
Correct Answer: C

Explanation:

Uma's speed is 92% of Tara's, so she always falls 8% of the race short. In a 1500 m race, Uma covers 0.92 × 1500 = 1380 m when Tara finishes. Tara wins by 1500 − 1380 = 120 m.
Question 20
Easy
Two cyclists start together from the same point on a 600 m circular velodrome and ride in the same direction at 6 m/s and 10 m/s. After how many seconds will they meet for the first time?
A 37.5 s
B 60 s
C 150 s
D 100 s
Correct Answer: C

Explanation:

Riding in the same direction, the relative speed is 10 − 6 = 4 m/s. They meet first when the faster cyclist has gained one full lap, i.e. 600 m. Time = 600 ÷ 4 = 150 s.