Question
Train A departs from Delhi to Patna at 8:15 AM,
traveling at an average speed of 15 m/s. Meanwhile, Train B leaves Patna for Delhi at 10:35 AM, moving at an average speed of 17.5 m/s. If the distance between Delhi and Patna is 555 km, at what time will the two trains meet each other?Solution
Speed of train A = 15 × 18/5 = 54 Km/h Speed of train B = 1.75 × 18/5 = 63 Km/h Distance covered by train A in 2 hours 20 minutes = 54 × 7/3 = 126 Km Relative speed of train A and train B together = 54 + 63 = 117 Km/h Remaining distance = 555 – 126 = 429 Km Time taken to cover 429 Km = 429 ÷ 117 = 11/3 hours = 3 hours 40 minutes So, the two trains will meet each other at 10:35 + 3:40 = 13:75 = 14:15 = 2:15 PM
If n(A) = 25, n(B) = 40 and n(A ∪ B) = 50, then n(A ∩ B) equals
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