Question
Car A departs from Varanasi towards Lucknow at 8:00 AM,
traveling at a speed of 48 km/h. Car B starts from Lucknow towards Varanasi at 9:15 AM, with a speed that is 25% greater than Car A's speed. If the distance between Varanasi and Lucknow is 1140 km, at what distance from Varanasi will the two cars meet?Solution
Speed of cars A = 48 kmph Speed of cars B = 48 * 125/100 = 60 kmph After one hour and 15 minutes cars A covers the distance = 48 + 48/4 = 60 km Time taken by two cars meet each other = (1140 – 60)/(60 + 48) = 10 hours Required distance = 10 * 48 + 60 = 480 + 60 = 540 km
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