A website Maths Puzzle Numerical Ability

The water supplies in a village has been destroyed. A social corporation begins distributing water jugs in the village. The jugs can be passed only to two persons in three minutes. How long will it take to pass the water jugs to 1536 persons?

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0^2 - 1^2 + 2^2 - 3^2 + 4^2 - ..... - 99^2 + 100^2 = ? Two trains, each 400 meters long, pass each other completely in 10 seconds when they are moving in opposite directions. Moving in the same direction, they pass each other completely in 20 seconds. Find the speed of the faster train.