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Two trains start at the same time from A and B and proceed towards B and A at 36 km/h and 42 km/h, respectively. When they meet, it is found that one train has moved 48 km more than the other. Then, the distance between A and B (in km) is:

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Important Questions on Arithmetic

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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: 
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A man can swim with the stream at the rate of 3 km/h and against the stream at the rate of 2 km/h. How long will he take to swim 7 km in still water?
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Points P and Q are 120 km apart. A motorcyclist starts from P to Q along a straight road P-Q with a speed of 30 km/h. At the same time, a cyclist starts along a road perpendicular to road P Q, with a speed of 10 km/h. After how much time will the distance between them be the least?
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A and B start at the same time from P and Q (55 km apart) to Q and P at 3 and 212 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:
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A runs 1.75 times as fast as B. If A gives B a start of 60 m, how far should the winning post be so that A and B reach there at the same time?
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X, Y, and Z walk at 6,12, and 18 km/h, respectively. They start from Jhumritalaiya towards Delhi at 2,5, and 7pm, respectively, when Y catches up with X, Y sends X back with a message to Z, when will Z get the message?
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A train 75 m long overtook a person who was walking at the speed of 6 km/h in the opposite direction and passed him in 712 s. Subsequently, it overtook a second person, walking in the same direction as the first person and passed him in 634 s. At what rate was the second person travelling?
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IMPORTANT
A boy rows a boat against a stream flowing at 2 kmph for a distance of 9 km, and then turns round and rows back with the current. If the whole trip occupies 6 hours, find the boy's rowing speed in still water?