Question
Bipasha and Malika leave the towns Kolkata and Ambala at
6:00 AM and travel toward Ambala and Kolkata respectively. Bipasha is 60 kilometers per hour and the speed of Malika is 120 kilometers per hour. Rani leaves Kolkata for Ambala sometime later and travels at the speed of 90 kilometers per hour. If the distance between Kolkata and Ambala Is 1080 km and all three meets at the same point on the way at same time, then at what time did Rani leave Kolkata?Solution
Time taken to meet Bipasha and Malika = {(1080)/(60+120)} = 6 hr. So in 6 hours Bipasha covers 360 km and this 360 km distance rani covers in 360/90 = 4 hr. Hence, Rani leaves Kolkata 2 hours later than Bipasha I.e at 8 am .
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