Question
Priya travels from station ‘M’ to station ‘N’.
If she moves at 45 km/h, she reaches 30 minutes early. If she moves at 30 km/h, she reaches 1 hour late. Find the distance between station ‘M’ and station ‘N’.Solution
Let the distance between station ‘M’ and station ‘N’ be ‘d’ km Let the correct time to travel be ‘t’ hours According to the question, (d/30) = t + 1 And, (d/45) = t - 0.5 Or, (d/30) - (d/45) = 1 + 0.5 = 1.5 Or, (3d - 2d) ÷ 90 = 1.5 Or, d = 1.5 × 90 = 135 Therefore, distance between station ‘M’ and station ‘N’ is 135 km.
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