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Question 75
Two stations P and Q are 570 km apart on a straight line. One train starts from P at 5 a.m. and travels towards Q at 90 km/h. Another train starts from Q at 6 a.m. and travels towards P at a speed of 70 km/h. At what time will they meet?
Solution
Distance between P and Q = 570 km
Speed of first train = 90 km/hr
Speed of second train = 70 km/hr
Second train starts after 1 hour of start of first train.
Then, First train travels 90 km in that 1 hour.
Remaining distance = 570 km - 90 km = 480 km
Relative speed = 90+70 = 160 km/hr
Time taken to meet = 480/160 = 3 hours.
Hence, They will meet 3 hours after 6am = 9am
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