Question
Aman travels from town βXβ to town βYβ. 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 βXβ and town βYβ?Solution
Let the distance between town βXβ and town βYβ be βdβ km Let the correct time to travel be βtβ 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) Γ· 120 = 1.35 Or, d = 1.35 Γ 120 = 162 Therefore, distance between town βXβ and town βYβ is 162 km.
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