Races and Games Practice Questions

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

Question 21
Easy
An 80 m pool race covers two lengths of a 40 m pool. Leena swims at 0.8 m/s and Mona at 1 m/s, but Mona loses 4 seconds at the turn. Who wins and by how many seconds?
A Mona, by 20 s
B Mona, by 16 s
C Leena, by 4 s
D Mona, by 12 s
Correct Answer: B

Explanation:

Leena's time = 80/0.8 = 100 s. Mona's time = 80/1 + 4 = 84 s. Mona wins by 100 − 84 = 16 s.
Question 22
Medium
In a 2.5 km cycle race, Gagan rides at 36 km/h and Harmeet at 30 km/h. Gagan lets Harmeet start 1 minute earlier. Who wins and by how many seconds?
A Gagan, by 50 s
B Gagan, by 10 s
C Harmeet, by 60 s
D They finish together
Correct Answer: E

Explanation:

Gagan's time = 2.5/36 h = 250 s; Harmeet's = 2.5/30 h = 300 s. Harmeet starts 60 s early, so he finishes 300 − 60 = 240 s after Gagan starts. Harmeet wins by 250 − 240 = 10 s.
Question 23
Easy
Kunal and Laxman run 1 km at 6 m/s and 5 m/s respectively. Kunal gives Laxman a start of 200 m. Who wins and by how many metres?
A Kunal, by 40 m
B Laxman, by 33.33 m
C Laxman, by 40 m
D Kunal, by 200 m
Correct Answer: C

Explanation:

Laxman needs 800 m, taking 800/5 = 160 s; Kunal needs 1000/6 ≈ 166.67 s, so Laxman wins. At 160 s Kunal has run 6 × 160 = 960 m. Laxman wins by 1000 − 960 = 40 m.
Question 24
Easy
Aamir finishes a 400 m race in 50 s and beats Bobby by 2.5 s. By how many metres does Aamir win?
A 20 m
B 19.05 m
C 21 m
D 18.5 m
Correct Answer: B

Explanation:

Bobby's time = 52.5 s, so his speed = 400/52.5 = 7.619 m/s. In Aamir's 50 s, Bobby covers 7.619 × 50 = 380.95 m. Aamir wins by 400 − 380.95 = 19.05 m.
Question 25
Hard
What is the length of the race? Statement I: A beats B by 40 m or 8 seconds. Statement II: B runs at 18 km/h.
A Statement I alone is sufficient, but Statement II alone is not sufficient
B Statement II alone is sufficient, but Statement I alone is not sufficient
C Either Statement I alone or Statement II alone is sufficient
D Both statements together are necessary
Correct Answer: E

Explanation:

Statement I gives only B's speed: 40/8 = 5 m/s; without A's or B's time, the length is unknown. Statement II says B runs at 18 km/h = 5 m/s, which is the same information as Statement I. Even together we only know B's speed, so the length cannot be found.