Question
Train 'X' leaves Pune heading to Nagpur at 7:00 a.m. At
9:00 a.m., Train 'Y' leaves Nagpur for Pune, traveling at 70 km/h. The trains meet at 2:00 p.m. If the total distance between the two cities is 770 km, what is the speed of Train 'X'?Solution
ATQ,
Let the speed of train 'X' be x km/h Distance covered by train 'X' in the first 2 hours = 2 × x = 2x km Time both trains traveled towards each other = 2:00 p.m. - 9:00 a.m. = 5 hours So according to the question: 5 × (70 + x) = 770 - 2x → 350 + 5x = 770 - 2x → 350 + 5x + 2x = 770 → 7x = 420 → x = 60 So, speed of train 'X' = 60 km/h
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