Question

# A trains travels at a certain speed for a distance of 63km & then travels a distance 72km at an average speed of 6km/h more than its original speed. If it takes 3h to complete the total journey then find its original avg speed

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#### Given distance = 63 km.Original speed of trian = x cm/hr.time =distancespeed=63x hrsAnd 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 =722+6 hrs.If it takes 3 hrs to complete the whose journey 63x+72x+6 = 3 hrs63(x+6)+72x = 3x(x+6)21(x+6)+24x = x(x+6).45x+21×6=x2+6xx2−39x−126=0(x-42) (x+3) = 0∴ x = 42 [original avg speed]

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Similar Questions
Q1

A train travels at a certain average speed for a distance 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than the original speed. If it takes 3 hours to complete total journey, what is its original average speed?

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Q2

A train travels at a certain average speed for a distance of 63 km and then Travels at a distance of 72 km at an average speed of 6 km per hour more than its original speed if it takes 3 hours to complete total journey what is the original speed ?

My solution :

63/x + 72/(x+6) = 3

After solving I got the answer => x=42

I wrote the answer as the train's original average speed is 42km/hr .

Is it correct ??????

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Q3

A motor boat whose speed is 18 km/hr in still water takes 1 hr more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream.
OR
A train travels at a certain average speed for a distance of 63 km and then travels at a distance of 72 km at an average speed of 6 km/ hr more than its original speed. If it takes 3 hours to complete total journey, what is the original average speed ?

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