Question
Ram needs to travel from point 'A' to point 'B'. If he
travels at a speed of 24 km/h, he arrives 2.5 hours later than expected. However, if he travels at a speed of 40 km/h, he arrives 30 minutes earlier than expected. Can you calculate the distance between points 'A' and 'B'?Solution
Let the distance between points 'A' and 'B' = 'd' km Let the usual time taken to travel from point 'A' to point 'B' be 't' hours Then, (d/24) = t + 2.5 Or, t = (d/24) - (5/2) And, (d/40) = t - (30/60) Or, t = (d/40) + (1/2) Or, {(d - 60)/24} = {(d + 20)/40} Or, {(5d - 300)/120} = {(3d + 60)/120} Or, 5d = 3d + 360 So, d = 360 ÷ 2 = 180 Therefore, distance between points 'A' and 'B' = 180 km
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