A train takes 5 hours from its starting point to the last station on the line. There are only 3 stops, and the train takes 1 3 5 of the total travel time to reach the first stop. How much time (in hours) does the train take to reach the first stop? A 46 15 or 31 15 B 15 C 56 15 or 3 11 15 D 28 15 ог 1 13 15
Question
A train takes 5 hours from its starting point to the last station on the line. There are only 3 stops, and the train takes 1 3 5 of the total travel time to reach the first stop. How much time (in hours) does the train take to reach the first stop? A 46 15 or 31 15 B 15 C 56 15 or 3 11 15 D 28 15 ог 1 13 15
Solution
The total travel time of the train is 5 hours. The train takes 1 3/5 of the total travel time to reach the first stop.
Step 1: Convert the mixed fraction 1 3/5 to an improper fraction. 1 3/5 = 5/5 + 3/5 = 8/5
Step 2: Multiply the total travel time by the fraction to find the time it takes to reach the first stop. 5 hours * 8/5 = 8 hours
So, the train takes 8 hours to reach the first stop.
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