Meeting Point

Q. Arti and Barkha start swimming towards each other from the deep end and shallow end respectively of a swimming pool in punchy. They start their swimming simultaneously in the length of 300 m pool. The ratio of their speeds is 1 : 2 respectively. Each swimmer rests for 6 seconds once she reaches the other end and starts swimming back. Where will they meet for the second time in the still water of swimming pool?

1. at the shallow end
2. 30 m from the shallow end
   
3. can't be determined
4. at the deepend

Q. Akbar and Birbal setout at the same time to walk towards each other respectively from Agra and Banaras 144 km apart. Akbar walks at the constant speed of 8 km/h, while Birbal walks 4 km in the first hour, 5 km in the second hour, 6 km in the third hour and so on. Then the Akbar and Birbal will meet:

1. in 6 h
2. in 8 h
3. midway between Agra and Banaras
4. 80 km away from Banaras
   

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. 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. 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. 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
   

Q. Two planes move along a circle of circumference 1.2 km with constant speeds. When they move in different directions, they meet every 15 seconds and when they move in the same direction, one plane overtakes the other every 60 seconds. Find the speed of the slower plane.

1. 0.04 km/s
2. 0.03 km/s
3. 0.05 km/s
4. 0.02 km/s

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. A train leaves Muzaffarpur at 2: 15 p.m. and travels at the rate of 50 kmph towards Hazipur. Another train leaves Hazipur at 1:35 p.m. and travels at the rate of 60 kmph towards Muzaffarpur. If the distance between Hazipur and Muzaffarpur is 590 km at what distance from Muzaffarpur will the two trains meet?

1. 225 km
2. 200 km
3. 300 km
4. 250 km

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