RIDDLING SPEED

Level pending

The speed of a train increases at a constant rate "a" from zero to "v" and then remains constant for an interval,and finally decreases to zero at a constant rate "b". If "L" be the total distance travelled then find the total time taken.

2 v+1/a+1/b L/v+2 v (1/a+1/b) L/v+v/2(1/a+1/b) L/v+2/v(1/a+1/b) L/v+1/v(1/a+1/b)

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