Problems on Races

Topic/Course
Sub-Topic (Example: name of college)
 Question 1
Akshat runs 100 m in 20 s and Akshara runs the same distance in 10 sec. By what distance
will Akshara beat Akshat in a 100-m race?

A) 50 m
B) 25 m
C) 40 m
D) 60 m
 Question 2
In a 100-m race, A beats B by 10 m and B beats C by 10 m. Find the distance by which A
beats C.

A) 10 m
B) 20 m
C) 19 m
D) 11 m
 Question 3
In a 250 m race, the ratio of the speed of Ram and Rama is 3 : 2. If Ram has a start of 70 m,
then Ram wins by

A) 130 m
B) 100 m
C) 120 m
D) 120 m
 Question 4
Sandeepa is 100% faster than Manisha. In a race, Sandeepa gave Manisha a head start of 200
m. Both of them finished the race simultaneously. Find the length of the race in metres.

A) 200
B) 400
C) 300
D) 500
 Question 5
Three friends A, B and C decide to run around a circular track. They start at the same time and
run in the same direction. A is the quickest and when A finishes a lap, it is seen that C is as
much behind B as B is behind A. When A completes 3 laps, C is the exact same position on
the circular track as B was when A finished 1 lap. Find the ratio of the speeds of A, B and C?

A) 5:4:2
B) 4:3:2
C) 5:4:3
D) 3:2:1
 Question 6
A and B stand at distinct points of a circular race track of length 120m. They run at speeds of a
m/s and b m/s respectively. They meet for the first time 16 seconds after they start the race and
for the second time 40 seconds from the time they start the race. Now, if B had started in the
opposite direction to the one he had originally started, they would have meet for the first time
after 40 seconds. If B is quicker than A, find B’s speed.

A) 5:4:2
B) 4:3:2
C) 5:4:3
D) 3:2:1
 Question 7
Akbar, Birbal and Chanakya run around a circular track of length 500 m. Akbar and Birbal run
with the speeds of 15 m/s and 20 m/s in the same direction respectively and Chanakya being
very intelligent run in che opposite direction with a speed of 25 m/s. If all three Of them start
at the same time,

A) Akbar meets Chanakya more frequently than Birbal does

B) Akbar and Chanakya meets as frequently as Birbal and Chanakya
C) Akbar meets Birbal least frequently
D) Nothing can be concluded
 Question 8
Arun and Barun run with the speeds of 30 m/s and 20 m/s around a circular track of 600
m.They participate in a 3000 m race. What is the distance covered by Arun when he pass
Barun for the 5th time?

A) 2200 m
B) 2250 m
C) 2850 m
D) None of these
 Question 9
Akkal and Bakkal are running on a circular track of radius 175 metres. Akkal can complete a
round in 100 seconds and the speed of Bakkal is twice the speed of Akkal. They started
simultaneously towards each other from two points 350 metres diametrically opposite on the
circular path. If they first meet at a point they called it love point, which is between the two
points P and Q from where they have started their race, after how much time from the start do
they meet at love point for the third dine?

A) 218 x 2/5 s
B) 216 x 2/3 s
C) 221 s
D) None of these
 Question 10
In a 200 m race, Amar beats Akbar by 20 m and Anthony by 50 m. If Akbar and Anthony are
running a 100 m race with the same speed, find the distance by which Akbar will beat
Anthony.

A) 83.33 m
B) 16.66 m
C) 11.11 m
D) 88.89 m
 Question 11
A and B runs around a circular track. A beats B by one round or 10 minutes. In this race, they
had completed 4 rounds. If the race was only of one round, find the A's time over the course :

A) 8 minutes
B) 7.5 minutes
C) 12.5 minutes
D) 12 minutes
 Question 12
A, B and C participated in a race. A covers the same distance in 49 steps, as B covers in 50
steps and C in 51 steps. A takes 10 steps in the same time as B takes 9 steps and C takes 8
steps. Who is the winner of the race?

A) A
B) B
C) C
D) can't be determined
 Question 13
Two friends A and B run around a circular track of length 510 metres, starting from the same
point, simultaneously and in the same direction. A who runs faster laps B in the middle of the
5th round. If A and B were to run a 3 km race long race, how much start, in terms of distance,
should A give B so that they finish the race in a dead heat?

A) 545.45 metres
B) 666.67 metres
C) 857.14 metres
D) Can't be determined
 Question 14
Twenty six men - 1,2,3,....25 and 26 participate in 10km running race on a circular track of
length 100m. All of them start at the same time, from the same point and run in the same
direction. Their speeds, taken in the order, are in increasing AP. The time taken by 26 to meet
1, for the first time after they start is 20 sec and the time taken by 13 to complete the race is 52
minutes and 5 seconds. Find the time taken (in seconds), for all the twenty six men to meet for
the first time at the starting point.

A) 1000
B) 500
C) 625
D) 400
 Question 15
Two motorists Anil and Sunil are practicing with two different sports car; Ferrari and
McLaren, on the circular racing track, for the car racing tournament to be held next month.
Both Anil and Sunil start from the same point on the circular track. Anil completes one round
of the track in 1 min and Sunil takes 2 min to complete a round. While Anil maintains speed
for all the rounds, Sunil halves his speed after the completion of each round. How many times
Anil and Sunil will meet between 6th round and 9th round of Sunil (6th and 9th round is
excluded)? Assume that the speed of Sunil remains steady throughout each round and changes
only after the completion of that round

A) 382
B) 347
C) 260
D) None of these
THANK YOU