Question
Priya travels from station βMβ to station βNβ.
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 βMβ and station βNβ.Solution
Let the distance between station βMβ and station βNβ be βdβ km Let the correct time to travel be βtβ 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) Γ· 90 = 1.5 Or, d = 1.5 Γ 90 = 135 Therefore, distance between station βMβ and station βNβ is 135 km.
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