Question
Aman rides from place P to Q. At 18 km/h, he is 3.5 hours
late. At 30 km/h, he is 1.5 hours early. Find the distance between P and Q.Solution
ATQ,
Let the distance = 'd' km
Let the usual time = 't' hours
Then, (d/18) = t + 3.5
Or, t = (d/18) - 3.5
And, (d/30) = t - 1.5
Or, t = (d/30) + 1.5
So, (d/18) - 3.5 = (d/30) + 1.5
Or, (d/18) - (d/30) = 5
LCM of 18 and 30 = 90
Or, (5d - 3d)/90 = 5
Or, 2d = 450
So, d = 225
Therefore, the distance = 225 km
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