Question
Aman travels from town ‘X’ to town ‘Y’. If he
drives at 60 km/h, he arrives 36 minutes early. If he drives at 40 km/h, he reaches 45 minutes late. What is the distance between town ‘X’ and town ‘Y’?Solution
Let the distance between town ‘X’ and town ‘Y’ be ‘d’ km Let the correct time to travel be ‘t’ hours According to the question, (d/40) = t + 0.75 And, (d/60) = t - 0.6 Or, (d/40) - (d/60) = 0.75 + 0.6 = 1.35 Or, (3d - 2d) ÷ 120 = 1.35 Or, d = 1.35 × 120 = 162 Therefore, distance between town ‘X’ and town ‘Y’ is 162 km.
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