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Q.

A train leaves the station 1 hour before the scheduled time. The driver decreases its speed by 50 km per hour. At the next station 300 km away, the train reached on time. The original speed of the train is:


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a

100 km/hr 

b

150 km/hr 

c

125  km/hr 

d

200  km/hr  

answer is B.

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Detailed Solution

Concept- First we will assume that the normal speed of the train is represented by x km/hr Then we will find the values of x
Let the normal speed of the train = x km/hr
Then the normal time to cover 300 km =Question ImageNow it takes 1 hour more
So, the new time taken Question ImageThe new speed =Question Imagekm/hr
Question Imagekm/hr
But the new speed is (x = 50) km/hr
Question ImageQuestion Imagekm/hr
We reject the negative value as the train always runs in the same direction.
∴x=150
So, the normal speed of the train =150 km/hr.
Hence, the correct option is 2.
 
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