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Train A is traveling at 60 mph and train B is traveling at 80 mph. Train A passes a station at 11:10 AM. If train B passes the same station at 11:25 AM, at what time will train B catch up to train A?
OK, I know that they are 15 minutes apart but... I don't know what time train B with catch up to train A. Do you? |
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in that 15 minutes after A passes the station, it travelled 60*15/60 miles = 15 miles
so, when B reaches the station, A is 15 miles ahead now B is faster than A by 80 -60 = 20 mph so to make up 15 miles, B would take 15/20 hrs = 3/4 hrs = 45 minutes so B will catch up to A by 11:25 + 45 minutes = 12:10 |
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I think this might be right.
I calculated how far each train would go every 15 minutes. At 11:25 Train A at station, Train B 15 miles from station At 11:40 Train A 20 miles from station, Train B 30 miles from station. At 11:55 Train A 40 miles from station, Train B 45 miles from station. At 12:10 Train A 60 miles from station, Train B 60 miles from station. So 12:10 is the answer I think. Maybe there's an easier way to do it though. |
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