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A starts from a point that is on the circumference of a circle, moves in the North direction and then again moves East and reaches a point diametrically opposite the starting point. Find the diameter of the circle?
(a)
(b)
(c)
(d)

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Important Questions on Time, Speed and Distance
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Ram and Shyam run a race of . First, Ram gives Shyam a start of and beats him by . Next, Ram gives Shyam a start of and is beaten by . Find the time in minutes in which Ram and Shyam can run the race separately in minutes.

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A motorboat went downstream for and immediately returned. It took the boat twice as long to make the return trip. If the speed of the river flow were twice as high, the trip downstream and back would take. Find the speed of the boat in still water and the speed of the river flow,

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A train requires to pass a pole while it requires to cross a stationary train which is long. Find the speed of the train.

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A boat sails downstream from point to point , which is away from , and then returns to . If the actual speed of the boat (in still water) is , the trip from to takes less than that from to . What must the actual speed of the boat for the trip from to to take exactly ?

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A boat sails down the river for and then up the river for. The speed of the river flow is . What should be the minimum speed of the boat for the trip to take a maximum of ?

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A man rows in still water. If the river is running at km per hour, it takes him minutes to row to a place and back. How far is the place?

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A boat goes upstream in and a distance of downstream in . The speed of the boat in still water is

MEDIUM
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Two trains are running on parallel lines in the same direction at speeds of and respectively. The faster train crosses a man in the second train in seconds. The length of the faster train is
