Question
Ravi travels from point ‘P’ to point ‘Q’. If he
drives at 72 km/h, he reaches 40 minutes early. If he drives at 48 km/h, he reaches 50 minutes late. What is the distance between point ‘P’ and point ‘Q’?Solution
Let the distance between point ‘P’ and point ‘Q’ be ‘d’ km Let the correct time to travel be ‘t’ hours According to the question, (d/48) = t + (50/60) = t + 0.833 And, (d/72) = t - (40/60) = t - 0.667 Or, (d/48) - (d/72) = 0.833 + 0.667 = 1.5 Or, (3d - 2d) ÷ 144 = 1.5 Or, d = 1.5 × 144 = 216 Therefore, distance between point ‘P’ and point ‘Q’ is 216 km.
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