Ram travels a certain distance at 3km/hr and reaches 15mins late. If he travels at 4km/hr, he reaches 15mins earlier. The distace he has to travel is____

Asked by Shikha Vanjani | 15th Jul, 2013, 04:37: PM

Expert Answer:

Let the distance = x km and time taken to reach is y hours
Hence, if Ram travels at 3 km/ h
x = 3(y + 0.25)
x = 3y + 0.75 (1)
 
Now, if Ram travels at 4km/h
x = 4(y-0.25)
x = 4y - 1  (2)
 
Substituting the value of x from equation 1 into equation 2
3y+0.75 = 4y-1
1.75  = y 
 
Hence, x = 3(1.75) + 0.75
x = 5.25 + 0.75 = 6 km 
 
Hence, the distance Ram has to travel 6 km. 
 

Answered by  | 15th Jul, 2013, 09:41: PM

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