SPEED TIME AND DISTANCE Question Sheet (RACES)
- Jul 15
- 8 min read
Table Of Content
Practice Question
Answer Key
SPEED TIME AND DISTANCE Question
Q.1 In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. If A has a start of 140 m, then A wins by:
a.60 m
b.40 m
c.20 m
d.10 m
Q.2 In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by:
a.20 m
b.22.75 m
c.25 m
d.None of these
Q.3 In a one km race, A beats B by 36 m or 9 sec. Find A’s time to complete the race.
a.9 seconds
b.240 seconds
c.241 seconds
d.250 seconds
Q.4 A can run 440 m in 42s and B in 44s. By how many seconds will B win If he had 30 meters start?
a.1 second
b.2 second
c.3 second
d.4 second
Q.5 In a 1500m race, A beats B by 150m and in the same race B beats C by 75m. By what distance does A beats C?
a.200 m
b.215 m
c.217.5 m
d.222.5 m
Q.6 In a 10 km race. A, B, and C, each running at uniform speed, get the gold, silver, and bronze medals, respectively. If A beats B by 1 km and B beats C by 1 km, then by how many metres does A beat C?
a.1500 m
b.1600 m
c.1800 m
d.1900 m
Q.7 In a circular race of 2400m, A and B start from the same point and at the same time with speeds of 27km/hr. and 45 km/hr. Find when will they meet again for the first time on the track when they are running in the Opposite direction?
a.120 seconds
b.150 seconds
c.180 seconds
d.240 seconds
Q.8 A, B and C run around a circular track of length 1200 m with respective speeds 9, 18, 27 kmph. If they started at the same time from the same point and run in the same direction when will they meet for the first time?
a.360 sec
b.480 sec
c.240 sec
d.None of these
Q.9 Two friends A and B simultaneously start running around a circular track. They run in the same direction. A travels at 6 m/s and B runs at b m/s. If they cross each other at exactly two points on the circular track and b is a natural number less than 30, how many values can b take?
a.3
b.4
c.5
d.7
Q.10 A and B are running in the same direction starting from a point P on a circular track of the length 1200 meter with speeds of 30 m/sec and 50 m/sec respectively. At what time they will meet for the first time anywhere on the track?
a.120 sec
b.30 sec
c.60 sec
d.50 sec
Q.11 A and B walk around a circular path of 900 metre in circumference, starting together from the same point in the same direction. If their speeds are 150 metre per minute and 200 metre per minute respectively, after how many minutes will they be again at the starting point?
a.9 minutes
b.12 minutes
c.15 minutes
d.18 minutes
Q.12 A can run one full round of a circular track in 6 min and B in 15 min. If both A and B start simultaneously from the same starting point then How many times would they met in the time B has completed 10 rounds when running in same direction?
a.10 times
b.15 times
c.20 times
d.25 times
Q.13 A can run one full round of a circular track in 6 min and B in 15 min. If both A and B start simultaneously from the same starting point then How many times would they met in the time B has completed 10 rounds when running in opposite direction?
a.20 times
b.25 times
c.30 times
d.35 times
Q.14 In a 100m race, A beats B by 20m or 5 seconds. If B beats C by 20m in the same race, by what distance will A beat C in a 250m race?
a.40 m
b.80 m
c.60 m
d.90 m
Q.15 Two circular tracks T1 and T2 of radii 100 m and 20 m, respectively touch at a point A. Starting from A at the same time, Ram and Rahim are walking on track T1 and track T2 at speeds 15 km/hr and 5 km/hr respectively. The number of full rounds that Ram will make before he meets Rahim again for the first time is
a.2
b.3
c.4
d.5
Q.16 Anil, Sunil, and Ravi run along a circular path of length 3 km, starting from the same point at the same time, and going in the clockwise direction. If they run at speeds of 15 km/hr, 10 km/hr, and 8 km/hr, respectively, how much distance in km will Ravi have run when Anil and Sunil meet again for the first time at the starting point?
a.4.2
b.4.6
c.4.8
d.5.2
Q.17 In a 1km race, A beats B by 60 seconds and B beats C by 45 seconds. By how much time will A beat C in a 500m race?
a.105 sec
b.52.5 sec
c.60 sec
d.80 sec
Q.18 John jogs on track A at 6 km/h and Mary jogs on track B at 7.5 km/h. The total length of tracks A and B is 325 metres. While John makes 9 rounds of track A, Mary makes 5 rounds of track B. In how many seconds will Mary make one round of track A?
a.49
b.48
c.47
d.45
Q.19 Two ants A and B start from a point P on a circle at the same time, with A moving clock-wise and B moving anti-clockwise. They meet for the first time at 10:00 am when A has covered 60% of the track. If A returns to P at 10:12 am, then B returns to P at
a.10 : 18 am
b.10 : 25 am
c.10 : 27 am
d.10 : 45 am
Q.20 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.3 : 2 : 1
b.4 : 3 : 2
c.5 : 3 : 1
d.5 : 4 : 2
Q.21 In a race of three horses, the first beat the second by 11 metres and the third by 90 metres. If the second beat the third by 80 metres, what was the length of the race (in meters)?Q.22 Rakesh and Brijesh start running simultaneously from point A and point B respectively, on a circular track of length 150 meters at a speed of 5 m/s and 3 m/s in the same direction from diametrically opposite ends. When will they meet at the point B from where Brijesh starts running?
a.15 seconds
b.30 seconds
c.50 seconds
d.They will never meet at point B
Q.23 In a car race, car A beats car B by 45 km, car B beats car C by 50 km, and car A beats car C by 90 km. The distance (in km) over which the race has been conducted is
Q.24 Shyam and Shreya start running simultaneously from a point O on a circular track in same direction. If the ratio of their speeds is 7 : 4 respectively, then how many times do they meet each other till they reach O again?
a.2
b.3
c.4
d.7
Q.25 In a 1000m Bike race, Bike A beats Bike B by 200m.In a 500m race, Bike B beats Bike C by 50m.In a 3600m race, If Bike A beats C by 56 seconds. How long would bike B take to travel a distance of 3000m?
a.100 seconds
b.120 seconds
c.150 seconds
d.200 seconds
Q.26 Arun and Barun start running simultaneously from same point on a circular track in opposite directions and with speeds in the ratio of 3 : 5 respectively. Every time they meet, they interchange their speeds and also reverse their directions. At how many distinct points on the track do they meet each other, if they run continuously?
a.2
b.3
c.5
d.8
Q.27 In a race, Dipesh beats Himanshu by 120 metres, Himanshu beats Hardik by 150 metres and Dipesh beats Hardik by 240 metres. If they all run a 2000 metres race, then find what distance will be covered by Hardik (in metres) in the time Dipesh covers 1350 metres.Q.28 A, B, C, and D are moving on a circular track in the same direction. All started running simultaneously and from the same point such that the ratio of their speeds is 1 : 2 : 3 : 4. At how many distinct points any two of them will meet.
a.1
b.2
c.3
d.4
Q.29 A swimming pool is of length 50 m. A and B enter a 300 m race starting simultaneously at one end of the pool at speeds of 3 m/s and 5 m/s. How many times will they meet while before B completes the race?
a.Once
b.Twice
c.Thrice
d.4-Times
Q.30 Ajay beats Vijay by 20m in a 100m race. If Ajay gives Vijay a headstart of 60m in a 200m race, who will win and by how much?
a.Ajay, 25m
b.Vijay, 40m
c.Ajay, 40m
d.Vijay, 25m
Q.31 A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 9.30 a.m. ?
a.5
b.6
c.7
d.8
Q.32 In a 100 m race, if A gives B a start of 20 meters, then A wins the race by 5 seconds. Alternatively, if A gives B a start of 40 meters the race ends in a dead heat. How long does A take to run 200 m?
a.10 seconds
b.20 seconds
c.30 seconds
d.40 seconds
Q.33 A runs 25% faster than B and is able to give him a start of 7 m to end a race in dead heat. What is the length of the race?
a.10 m
b.25 m
c.45 m
d.35 m
Direction for question : Refer to the following information for the following questions.
'X' and 'Y' move on a circular track 1400 m in circumference at 60 m/s and 80 m/s respectively. On meeting, they reverse direction and continue moving at the same speed. If 'X' moves in the clockwise direction and 'Y' in the counter-clockwise direction, then
Q.34 How far away from the starting point do they meet when they meet for the second time? (clockwise direction)
Q.35 How far away from the starting point in the clockwise direction do they meet for the first time?
a.600 m
b.800 m
c.200 m
d.400 m
Q.36 How far away from the starting point do they meet when they meet for the second time? (clockwise direction)
a.0
b.200 m
c.400 m
d.600 m
Q.37 How many metres from the starting point (in clockwise direction) do they meet when they meet for the 12th time?
a.0
b.200 m
c.400 m
d.600 m
Q.38 How many metres from the starting point (in clockwise direction) do they meet when they meet for the 217th time?
a.0
b.200 m
c.400 m
d.600 m
Direction for question: Answer the questions on the basis of the information given below:-
Starting from the same point at the same time on a circular track, ‘John’ moves in the clockwise direction whereas 'Johny' and 'Janardhan' move in the anti-clockwise direction. 'John' meets 'Johny' every 18 seconds while 'John’ meet ‘Janardhan’ every 20 seconds
Q.39 After how much time do all three meet at the same point for the first time?
a.38 sec
b.180 sec
c.360 sec
d.Depend on length of the track
Q.40 If ‘John’, ‘Johny’ and ‘Janardhan’ were all moving in the same direction, everything else remaining the same, when would all three meet?
a.38 sec
b.180 sec
c.360 sec
d.Depend on length of the track
ANSWERS FOR SPEED TIME AND DISTANCE QUESTION (RACES)
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
C | C | C | A | C | D | A | D | B | A |
11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
C | D | B | D | D | B | C | B | B | C |
21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 |
C | 880 | D | 450 | B | C | D | 810 | D | D |
31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 |
D | C | C | D | A | A | A | D | B | B |
In question 17 the correct answer should be 52.5 sec but the ans mentioned is 60 sec
The answer of question 10 should be 60sec but the answer marked is 120 sec