Question
Raj travels a certain distance at
a certain speed in a certain time. However, if he had decreased his speed by 12 km/h, he would have taken 3 hours more. And, if he had further decreased his speed by 12 km/h, he would have been late by another 4 hours. Find the total distance traveled by him.Solution
ATQ, Let the distance be ‘d’ km So, 
And, 
From (i) and (ii), 
Let original speed be S km/h
[(S–12)×3]/12 = [(S–24)×7]/24 6(S–12) = 7(S–24) 6S–72 = 7S–168 S = 96 km/h Required distance = 96×(96–12)/12×3 = 96×7×3 = 2016 km
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