Races and Games Practice Questions

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

Question 11
Medium
Mahesh runs 400 m in 64 s and Naveen in 72 s. If Mahesh lets Naveen start 6 seconds earlier, how far behind is Naveen when Mahesh finishes the 400 m?
A 44.44 m
B 11.11 m
C 33.33 m
D 16.67 m
Correct Answer: B

Explanation:

Naveen's speed = 400/72 = 50/9 m/s. When Mahesh finishes at 64 s, Naveen has been running for 64 + 6 = 70 s and has covered 70 × 50/9 = 388.89 m. Naveen is 400 − 388.89 = 11.11 m behind.
Question 12
Medium
Bhanu takes 20% more time than Chhaya to run 800 m. By how many metres does Chhaya win an 800 m race?
A 160 m
B 133.33 m
C 120 m
D 150 m
Correct Answer: B

Explanation:

Time ratio Chhaya : Bhanu = 5 : 6, so speed ratio = 6 : 5. When Chhaya runs 800 m, Bhanu runs 800 × 5/6 = 666.67 m. Chhaya wins by 800 − 666.67 = 133.33 m.
Question 13
Easy
A delivery company holds a fun trolley race over 120 m at its Nagpur warehouse. Team Alpha pushes at 3 m/s and Team Beta at 2.5 m/s. By how many seconds does Alpha win?
A 20 s
B 8 s
C 6.67 s
D 10 s
Correct Answer: B

Explanation:

Alpha's time = 120/3 = 40 s. Beta's time = 120/2.5 = 48 s. Alpha wins by 8 s.
Question 14
Medium
In a game of 100 points, A can give B 20 points and C 28 points. How many points can B give C in a game of 100 points?
A 8 points
B 12 points
C 10 points
D 9 points
Correct Answer: C

Explanation:

When A scores 100, B scores 100 − 20 = 80 and C scores 100 − 28 = 72. So C scores 72 while B scores 80; when B scores 100, C scores 72 × 100/80 = 90. B can give C 100 − 90 = 10 points.
Question 15
Medium
A 3.2 km race is held on a 250 m circular track. Mohan runs at 6 m/s and Nitin at 5 m/s. How many times will Mohan overtake Nitin during the race?
A 3 times
B 1 times
C 4 times
D 2 times
Correct Answer: D

Explanation:

Mohan finishes 3200 m in 3200/6 ≈ 533.33 s. In that time he gains (6 − 5) × 533.33 ≈ 533.33 m on Nitin. Each overtake needs a 250 m gain; 533.33 m passes 250 and 500, so he overtakes 2 times.