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The two train start at same time.The first one stops after every 5 seconds and the second one stops after every 4 seconds.How many times do they stop together in 1 minute?
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The two train start at same time.The first one stops after every 5 sec...
Introduction:
In this problem, we are given two trains that start at the same time. The first train stops after every 5 seconds, while the second train stops after every 4 seconds. We need to determine how many times they stop together in a span of 1 minute.

Approach:
To solve this problem, we can break it down into smaller intervals and count the number of times the trains stop together in each interval. Since we are given the times at which each train stops, we can calculate the number of stops in 1 minute by finding the least common multiple (LCM) of the two stopping times.

Calculating the LCM:
The LCM of two numbers is the smallest number that is divisible by both of them. In this case, we need to find the LCM of 5 seconds and 4 seconds, which is 20 seconds.

Calculating the number of stops:
Now that we have the LCM, we can calculate the number of stops in 1 minute. Since there are 60 seconds in a minute, we can divide 60 by the LCM to get the number of intervals.

60 seconds / 20 seconds = 3 intervals

Calculating the total number of stops:
To calculate the total number of stops, we multiply the number of intervals by the number of stops in each interval. In this case, both trains stop at the same time in each interval.

3 intervals * 1 stop per interval = 3 stops

Conclusion:
Therefore, the two trains will stop together 3 times in 1 minute.
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The two train start at same time.The first one stops after every 5 seconds and the second one stops after every 4 seconds.How many times do they stop together in 1 minute?
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