Question
The speed of train X is 25% more than the speed of train Y. The time taken by train X to cover P km is z hours, and train Y covers the same distance in (z + 1) hours. If both trains run towards each other from (P – 18) km apart and meet after 2 hours, find the speed of train
X.
Solution
Speed of train Y = 4k Speed of train X = 4k * 125/100 = 5k P/4k = (z + 1) P/5k = z 4k * (z + 1) = 5kz 4k + 4 = 5k z = 4 (P – 18)/9k = 2 P – 18 = 18k 20k – 18 = 18k k = 9 Speed of train X = 5 * 9 = 45 kmph
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