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Train A passes a station at 12:25 p.m.. If Train B passes the same station at 12:55p.m., at what time will train B catch up to train A?
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5:55 PM
At 12:55 PM, train B is 50 miles ahead of train A, since it has gone 100mph for thirty minutes since passing the station that train A has just passed. Because it is travelling 10mph faster than train A, train B gains 10 miles on train A every hour and will therefore need five hours to make up the fifty miles between them. |
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1/ Train B travel 10mph faster than train A.
2/ Train A has a 30 minutes head start (passing the station at 12:25pm versus train B at 12:55pm) and travel at 100mph. 3/ Therefore, train A has a head start of 50 miles. 4/ So it would take train B five (5) hours to catch up with train A. Hope this helps! |
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