Running in Circles

Q.

A train running at the speed of $60$ kmph crosses a pole in $9$ seconds. What is the length of the train?

1. $180$ metres

2. $150$ metres

3. $270$ metres

4. None of these

5. $120$ metres

Q.

Two trains of equal length are running on parallel lines in the same direction at 46 kmph and 36 kmph. The faster train passes the slower train in 36 seconds. The length of each train is:

1. 50 m

2. 72 m

3. 80 m

4. 82 m

5. 75 m

Q.

A cat takes 5 leaps for every 4 leaps of a dog, but 3 leaps of the dog are equal to 4 leaps of the cat. What is the ratio of the speed of the cat to that of the dog?

1. 15:8

2. None of these

3. 16:15

4. 15:16

5. 8:15

Q. In a race of 600 meters, Ajay beats Vijay by 60 metres and in a race of 500 meters, Vijay beats Anjay by 25 meters. By how many meters will Ajay beat Anjay in a 400-meter race?

1. 48 m
2. 52 m
3. 56 m
4. 58 m

Q. In a 1000 m race, Ameesha gives a headstart of 100 m to Bipasha and beats her by 200 m. In the same race, Ameesha gives a headstart of 100 m to Celina and beats her by 300 m. By how many metres would Bipasha beat Celina in a 50 m race?

1. 7.14 m
2. 6.66 m
3. 8 m
4. None of these

Q.

How long does a train 110 metres long running at the speed of 72 kmph take to cross a bridge 132 metres in length?

1. 9.8 sec

2. 14.3 sec

3. 14.9 sec

4. 12.1 sec

5. 12.42 sec

Q.

The ratio between the speeds of two trains is 5 : 8. If the second train runs 560 kms in 8 hours, then the speed of the first train is:

1. 52.5 Km/hr

2. 43.25 Km/hr

3. 43.75 Km/hr

4. 44.25 Km/hr

5. 35 Km/hr

Q. Anand can beat Bidhan by 5 m in a 100 m race and Bidhan can beat Chandan by 10 m in a 200 m race. Then, in a race of 400 m, Anand can beat Chandan by:

1. 40 m
2. 39 m
3. 15 m
4. 10 m

Q. Two persons A and B are standing diametrically opposite on a circular track of radius 3.5 units. They start running in an opposite direction on the circular track and their speeds are four units/min and seven units/min, respectively. On meeting each other, they take rest for half a min and then start running with twice the original speed. In five min, how many times will they take rest together?

1. 6 times
2. 7 times
3. None of these
4. 10 times

Q.

In a race of 2000 m, Ram can beat Laxman by 200 m, in a race of 1600 m, Laxman can beat Bharat by 200 m. By how many meters will Ram beat Bharat in a race of 1200 m?

1. 255 m

2. 275 m

3. 300 m

4. 115 m

Q.

In how many seconds will a 100 meter long train running at 36 km/hr cross a 150 m long platform?

1. 24

2. 35

3. 26

4. 25

5. 27

Q.

A car can travel 25% faster than a train. Both start from point A at the same time and reach point B 50 kms away from A at the same time. On the way, however, the car lost about 25 minutes while stopping at the petrol pump. The speed of the train is:

1. 22 kmph

2. 24 kmph

3. 25 kmph

4. 20 kmph

Q.

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point . After what time will they meet again at the starting point?

1. 42 minutes 36 seconds

2. 26 minutes 18 seconds

3. 45 minutes

4. 46 minutes 12 seconds

5. 50 minutes

Q. Arun and Barun run with the speeds of 30 m/s and 20 m/s around a circulat track of 600 m. They participate in a 3000 m race. What is the distance covered by Arun when he passes Barun for the 5th time?

1. 2250 m
2. 2850 m
3. None of these
4. 2200 m

Q.

A train consists of 12 bogies, each bogie being 18 metre long. The train crosses a tree in 18 seconds. Due to some reasons, two bogies were detached. In how much time will the train now cross the tree?

1. 12 s

2. 13 s

3. 16 s

4. 15 s

Q.

Ryan cycles from his house to the school which is $6\text{km}$ away in $20\text{mins}$. Sean cycles to the school from his house situated $8\text{km}$ away from the school in $32\text{mins}$. The ratio of the speeds of Ryan and Sean will be

1. $6:5$

2. $5:6$

3. $3:4$

4. $5:8$

Q. Vinay and Versha run a race with their speeds in the ration of 5:3. They prefer to run on a circular track of cricumference 1.5 km. What is the distance covered by Vinay when he passes Versha for the seventh time?

1. 25.25 kms
2. 27 kms
3. None of these
4. 26.25 kms

Q.

A bus and a truck are available to cross a jungle. The speed of the truck is thrice that of the bus. The capacity of the truck is 50 persons and that of bus is 30 persons. The average occupancy of the bus is twice that of the truck. The tickets for the bus and the truck cost Re 1 and Re 1.50 respectively. What is the ratio of the average rupee collection of the truck to that of the bus in a day? Assume there is no wastage time between trips and the occupancy of the bus/truck is defined as the ratio of the actual number of persons boarding it and its capacity.

1. 15:8

2. none

3. 4:15

4. 15:4

5. 8:15

Q. Philip, Tom and Brad start jogging around a circular field and complete a single round in 18 seconds, 22 seconds and 30 seconds respectively. In how much time, will they meet again at the starting point?

1. 3 minutes 15 seconds
   
2. 12 minutes
3. 16 minutes 30 seconds
   
4. 21 minutes
   
5. None of these

Q.

Two runners A and B start running from a point on a circular track with constant speeds completing one revolution in 6 and 20 minutes respectively and then come to stop after one hour. Find the ratio of number of meetings when they move in the same direction to the number of meetings when they move in the opposite direction.

1. 3:10
2. 4:10
3. 5:7
4. 7:13

Q.

A can run 45 m while B runs 50 m. By how much distance will B beat A in a 500 m race?

1. 75 m

2. 37.5 m

3. 55 m

4. 50 m

5. 25 m

Q.

A train travels at a speed of 40 km/h and another train at a speed of 20 m/s. What is the ratio of speed of the first train to that of the second train?

1. 2 : 1

2. 9 : 5

3. 5 : 3

4. 5 : 9

5. None of these

Q. Two points A and B are diametrically opposite points on a 6 km long circular road. A cyclist started from A and made two rounds. He made the first round with a certain uniform speed and then decreased his speed by 3 km/h. The interval between his two passages through point B is 50 min. Find the speed with which the cyclist made the first round.

1. 6 km/h
2. 12 km/h
3. 9 km/h
4. 16 km/h

Q. Study the following information and answer the questions given below:

The premises of a bank are to be renovated. The renovation is in terms of flooring certain areas that are to be floored either with marble or wood. All rooms/halls and pantry are rectangular. The area to be renovated comprises of a hall for customer transaction measuring 23m $\times$ 29m, branch manager’s room measuring 13m $\times$ 17m, a pantry measuring 14m $\times$ 13m, a record keeping cum server room measuring 21m $\times$ 13m and locker area measuring 29m $\times$ 21m. The total area of the bank is 2000 square meters. The cost of wooden flooring is 170/- per square meter and the cost of marble flooring is 190/- per square meter. The locker area, record keeping cum server room and pantry are to floored with marble. The branch manager’s room and the hall for customer transaction are to be floored with wood. No other area is to be renovated in terms of flooring.

What is the total cost of renovation of the hall for the customer transaction and the locker area?

1. Rs. 2, 30, 206/-
2. Rs. 2, 29, 100/-
3. Rs. 2, 16, 920/-
4. Rs. 2, 42, 440/-
5. None of these

Q.

In a 500m race, Akram beats Imran by 50 meters. Imran beats Waqar by 50 meters.
By how many meters does Akram beat Waqar in the same race?

1. 95 m

2. 110 m

3. 90 m

4. 100 m

5. 105 m

Q. Two trains are travelling towards each other. The distance between the trains initially is 400 km. After some time they meet at a distance of 150 km from one end. Find the ratio of the speed of the trains.

1. 2:5
2. 3:5
3. 4:7
4. 7:3
5. None of these

Q. Ram Singh and Priyadarshan start together from the same point on a circular path and walk around, each at his own pace until both arrive together at the starting point. If Ram Singh performs the circuit in 3 minutes 44 seconds and Priyadarshan in 6 minutes 4 seconds, how many times does Ram Singh go around the path?

1. 8
2. 13
3. 15
4. Cannot be determined

Q. In a 2000m race on a circular track 200 meters long, X overtakes Y at the middle of the 4th round. If they continue running at the same rate, by how much distance will X win the race?

1. $\frac{1}{7}km$
2. $\frac{2}{7}km$
3. $\frac{3}{7}km$
4. $\frac{4}{7}km$

Q. In which match is the difference between the runs scored by Australia and England second lowest?

1. Match 1
2. Match 2
3. Match 3
4. Match 4
5. Match 5

Q. What is the difference between the number of female players who play lawn tennis and the number of male players who play rugby?

1. 94
2. 84
3. 240
4. None of these
5. 220