Question

A trains travels at a certain speed for a distance of & then travels a distance at an average speed of more than its original speed. If it takes to complete the total journey then find its original avg speed

Hard
Solution
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Given distance = 63 km.
Original speed of trian = x cm/hr.
time hrs
And it travels a distance of 72 km at a avg speed of 6 km / hr more than original speed.
distance = 72 km 
speed = (x+6) km / m.
time hrs.
If it takes 3 hrs to complete the whose journey = 3 hrs
63(x+6)+72x = 3x(x+6)
21(x+6)+24x = x(x+6).
(x-42) (x+3) = 0
x = 42 [original avg speed]

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