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12 Dec 2021, 04:10
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Two trains depart from the same station at the same time, heading in opposite directions on a circular route. Train 1 is an express, and so travels 1.5 times as fast as Train 2. In a single day, Train 1 and Train 2 pass by each other 60 times. How many rounds around the circular route
does Train 1 travel each day?
Please assist.
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does Train 1 travel each day?
Please assist.
Posted from my mobile device
12 Dec 2021, 05:24
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Meetpraveenkumar
If one train travels 1.5 times as fast as the other, then in the same amount of time, that train travels 1.5 times as far as the other. So in the same time, the ratio of the distances they travel is 1.5 to 1, or 3 to 2. Now, when the trains meet for the first time, combined they must have covered one entire circle. Since they've traveled for the same time, the fast train has traveled 3/5 of the distance around circle, and the slow train 2/5 of the distance around the circle. But then they're in the same place, and to meet again, again combined they need to travel the whole distance around the circle, and again the fast train travels 3/5 of the way around the circle. So each time they meet, the fast train travels 3/5 of the circumference, and if they meet 60 times, the fast train will travel around the circle (3/5)(60) = 36 times.
Technically there could be an issue with exactness here -- I'm assuming they meet for the last time exactly when the day ends.
Archit3110
12 Dec 2021, 11:07
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let train speed of train 2 ; x
and train speed of train 1 ; 1.5x
since trains are moving in opposite direction so relative speed = 2.5x
they are meeting 60 times or say 60/2.5 ; x=24
number of times train 1 goes ; 1.5*24 ; 36
and train speed of train 1 ; 1.5x
since trains are moving in opposite direction so relative speed = 2.5x
they are meeting 60 times or say 60/2.5 ; x=24
number of times train 1 goes ; 1.5*24 ; 36
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