Meeting Point

Q.

A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?

1. 48 sec

2. 50 sec

3. 40 sec

4. 42 sec

5. 45 sec

Q. A bus is moving with a speed of 10 ms-1 on a straight road. A scooterist wishes to overtake the bus in 100s. If athe bus is at a distance of 1 km from the scooterist with what speed should the scooterist chase the bus

Q. A tiger is 50 of its own leaps behind a deer. The tiger takes 5 leaps per minute to the deer's 4. If the tiger and the deer cover 8 m and 5 m per leap respectively, what distance will the tiger have to run before it catches the deer?

1. 600 m
2. 700 m
3. 800 m
4. 1000 m

Q.

P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?

1. 7

2. 

3. 

4. 

5. 

Q. A and B walk from X to Y, a distance of 27 km at 5 km/hr and 7 km/hr respectively. B reaches Y and immediately turns back meeting A at Z. What is the distance from X to Z? (1994)

1. 25km
2. 22.5km
3. 24km
4. 20km

Q.

In covering a distance of 60 km, Abhishek takes 4 hours more than Sanjay. If Abhishek doubles his speed, then he would take 2 hours less than Sanjay. What is Abhishek's speed?

1. 10 kmph

2. 12 kmph

3. 14 kmph

4. None of these

Q.

Two trains 140 m and 160 m long run at the speed of 60 kmph and 40 kmph respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:

1. 9

2. 9.6

3. 10

4. 10.8

5. 12

Q. A train approaches a tunnels AB. Inside the tunnel a cat located at a point that is $\frac{3}{8}$ of the distance measured from the entrance A. when the train whistles, the cat runs. If the cat moves to the entrance of the tunnel, A, the train catches the cat exactly at the entrance. If the cat moves to the exit B, the train catches the cat at exactly the exit. The speed of the train is greater than the speed of the cat by what order?

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

Q. In how many different ways can the letter of the word 'RUMOUR' be arranged?

1. 180
2. 30
3. 720
4. 90
5. None of these

Q. A table clock has its minute hand 5 cm long. The average velocity of the tip of the minute hand between 6am to 6.30pm.

Q. Two persons A and B started from two different places towards each other. If the ratio of their speeds be 3 : 5, then what is the ratio of distance covered by A and B respectively till the point of meeting?

1. 1 : 2
2. 3 : 4
3. 3 : 5
4. 5 : 3

Q.

Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill the cistern. How much time will be taken by A to fill the cistern separately?

1. 1 hr

2. 2 hrs

3. 6 hrs

4. 8 hrs

5. 4 hrs

Q.

Two pipes P and Q can fill a tank in 36 mins and 45 mins each. A third pipe R can empty the tank in 30 mins. Initially, P and Q are opened and after 7 mins, R is also opened. How long will it take for the tank to fill up?

1. 30 mins

2. 40 mins

3. 46 mins

4. 39 mins

5. 50 mins

Q. Two people A and B start from P and Q (distance = D) at the same time towards each other. They meet at a point R, which is at a distance 0.4D from P. They continue to move to and fro between the two points. Find the distance from point P at which the fourth meeting takes place.

1. 0.4D
2. 0.3D
3. 0.8D
4. 0.6D

Q. A train X departs from station A at 11.00 a. m. for station B, which is 180 km away. Another train Y departs from station B at 11 : 00 a. m. for station A. Train X travels at an average speed of 70 km/hr and not stop anywhere until it arrives at station B. Train Y travels at an average speed of 50 km/hr, but has to stop for 15 minutes at station C, which is 60 kms away from station B enroute to station A. Ignoring the lengths of the trains, what is the distance, to the nearest km, from station A to the point where the train crosses each other ? (2001)

1. 112
2. 118
3. 120
4. None of these

Q. A, B and C starts running simultaneously from point P, Q and R respectively on a circular track. The distance between any two of the three points P, Q and R is L and the ratio of the speeds of A, B and C are 1:2:3. If A and B run in opposite directions while B and C run in the same direction, what is the distance run by A before A, B and C meet for the $3^{rd}$ time?

1. A, B and C never meet
2. 40/3 L
3. None of these
4. 10 L
5. 12L

Q.

A car P leaves City C at 7 AM and reaches City D at 11 AM. Another car Q leaves City D at 9 AM and reaches City C at 12:30 PM.
At what time will the two cars cross each other?

1. 66 min

2. 36 min

3. 36 min

4. 46 min

5. 56 min

Q.

Train X starts from point A for point B at the same time that train Y starts from B to A. Point A and B are 300 km apart. The trains are moving at a constant speed at least at 25 km/h. The trains meet each other 3 hours after they start. If the faster train takes at least 2 more hours to reach the destination, by which time will the slower train have definitely reached its destination? (ignoring the length of trains in crossing)

1. 4 hours after the start

2. 7.5 hours after the start

3. 6 hours after the start

4. none of the above

Q.

Three pipes P, Q and R can fill a tank in 12 hours. After working at it together for 4 hours, R is closed. P and Q can fill the remaining tank in 14 hours. What is the number of hours taken by R alone to fill the tank?

1. 20

2. 24

3. 28

4. 32

Q. An athlete runs to and fro between points A and B at a speed of 10 km/h. A second athlete simultaneously runs from point B to A and back at a speed of 15 km/h. If they cross each other 12 min after the start, after how much time will they cross each other again?

1. 18 min
2. 24 min
3. 48 min
4. 36 min

Q. A thief sees a jeep at a distance of 250 m, coming towards him at 36 km/h. Thief takes 5 seconds to realise that there is nothing but the police is approaching him by the jeep and start running away from police at 54 km/h. But police realise after 10 seconds when the thief starts running away, that he is actually a thief and gives chase at 72 km/h. How long after thief saw police did police catch up with him and what is the distance police had to travel to do so?

1. 50 s, 1000 m
2. 65 s, 1150 m
3. 65 s, 1300 m
4. 45 s, 1050 m

Q.

A motorbike leaves point A at 1 pm and move towards point B at a uniform speed. A car leaves point B at 2 pm and moves towards point A at a uniform speed which is double that of the motorbike. They meet at 3:40 pm at a point which is 168 km away from A. What is the distance, in km, between A and B?

1. 364

2. 378

3. 380

4. 388

Q.

The given question consists of a set of statements. Find out whether the data provided in the statements are sufficient to answer the question and mark the option:

What is the length of a running train P crossing another running train Q?

I. These two trains take 12 seconds to cross each other.
II. These trains are running in opposite directions.
III. The length of train Q is 120 metres.

1. II only

2. I only

3. III only

4. All I, II and III are required

5. Cannot be determined

Q. A and B start at the same time from P and Q (55 km apart) to Q and P at 3 and $2\frac{1}{2}$ km/h respectively. They meet at R and then reach Q and P to return immediately and meet again at S. The distance from R to S is:

1. 16 km
2. 15 km
3. 10 km
4. 12 km

Q. Three pipes P, Q and R can fill a tank in 12 minutes, 18 minutes and 24 minutes respectively. The pipe R is closed 12 minutes before the tank is filled. In what time the tank is full?

1. $\left(8\frac{4}{13}\right)hrs$
2. $\left(8\frac{5}{13}\right)hrs$
3. $\left(7\frac{4}{13}\right)hrs$
4. $\left(8\frac{6}{13}\right)hrs$
5. None of these

Q.

P, Q and R can do a work in 12, 24 and 32 days respectively. They all begin together. P continues to work till it is finished. R left after 4 days and Q, one and half day before its completion. In what time is the work finished?

1. 10.5 days

2. 7.5 days

3. 9 days

4. 12 days

5. None of these

Q.

Rishabh is travelling on his bike and has calculated to reach point X at 3 p.m. If he travels at 20 kmph, he will reach there at 1 p.m. if he travels at 30kmph. At what speed must he travel to reach X at 2 p.m.?

1. 28 kmph

2. 36 kmph

3. 40 kmph

4. 24 kmph

5. 20 kmph

Q. The students in a class are seated according to their marks in the previous examination. Once, it so happened that four of the students got equal marks and therefore the same rank. To decide their seating arrangement, the teacher wants to write down all possible arrangements one in each of separate bits of paper in order to choose one of these by lots. How many bits of paper are required?

1. 24
2. 48
3. 36
4. 12
5. None of these

Q. Train 'A' running at a certain speed crosses another train 'B' running at a certain speed in the opposite direction in 12 seconds. What is the length of train 'B'?
I. The length of both the trains together is 450 metres.
II. Train 'A' is slower than train 'B'.

1. Data in both the statements I and II together are necessary to answer the question.
2. Data in the statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
3. Data given in both the statements I and II together are not sufficient to answer the question.
   
4. Data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
5. Data either in statement I alone or in statement II alone are sufficient to answer the question.
   

Q. 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 the opposite direction with a speed of 25 m/s. If all three of them start at the same time, then:

1. Akbar meets Chanakya more frequently than Birbal does
2. Akbar and Chanakya meets as frequently as Birbal and Chanakya
3. Akbar meets Birbal least frequently
4. Nothing can be concluded