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Answer :
At approx. 5:49 p.m, time the 2nd train will touch up to the 1st train which leaves los angeles at 2:00 p.m.
Let station be our initial point.
Firstly, for first train leaves los angeles at 2:00 p.m, speed of train = 13 miles per hour
and the second train is traveling 60 mph and leaves the station 3 hours later at 5 pm.
distance covered by train before 2nd train had start = 3×13 = 39 miles
Let the time taken by the second train to catch the first train be t hours. Then the first train will travel for t+3 hours before being caught by the second train.
Using the formula,
Speed = distance/time
=> distance= speed ×time
As both, the train will travel an equal distance
60 ×t = 13(t+3)
=> 60t = 39 + 13t
=> 47t = 39
=> t = 39/47 = 0.82 ~ 49.2 minutes
Hence the second train takes 49.2 minutes to catch up to the first train. The time will be 6p.m.
To learn more about Speed , refer:
https://brainly.com/question/13262646
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Rewritten by : Barada
To determine when the second train will catch up to the first, calculate the initial lead of the first train and then the time it takes for the second train to overcome this lead at their relative speeds. The second train will catch up to the first approximately at 5:50 p.m.
The question involves calculating when one train will catch up to another, which is a classic problem in relative motion and speed. First, we need to find out how far ahead the first train is after 3 hours since it travels at 13 mph. In 3 hours, the first train covers a distance of 3 hours * 13 mph = 39 miles. The second train, traveling at 60 mph, needs to cover this distance plus any additional distance the first train covers during the catch-up.
Since the second train is traveling 47mph faster (60 mph - 13 mph = 47 mph), we divide the distance the first train has traveled by this relative speed to find out how long it takes for the second train to catch up: 39 miles / 47 mph = 0.8298 hours, approximately. To convert this into minutes, we multiply by 60 minutes/hour, getting about 49.79 minutes. So the second train will catch up to the first train roughly 49.79 minutes after it departs at 5:00 p.m., which is around 5:50 p.m.
