Two trains are traveling in opposite directions between Los Angeles and Sacramento. The Sacramento bound train is moving at a speed of 60mph and the Los Angeles bound train is moving at a speed of 80mph. Sacramento bound train leaves at 7am and the Los Angeles bound train leaves at 9am. When would these two trains meet if the distance between cities is 400 miles?

Question

Mathematics

Jaelyn Glover

25 November, 10:29

Two trains are traveling in opposite directions between Los Angeles and Sacramento. The Sacramento bound train is moving at a speed of 60mph and the Los Angeles bound train is moving at a speed of 80mph. Sacramento bound train leaves at 7am and the Los Angeles bound train leaves at 9am. When would these two trains meet if the distance between cities is 400 miles?

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Answers (1)

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Mateo · Answer 1

Both trains meet at 10 am.

Step-by-step explanation:

Step 1: Find the time Los Angeles bound train takes to travel 400 miles

Speed = 80 mph

Distance = 400

Time = T1

Train leaves at 9 am

Time = Distance/Speed

Time = 400/80

Time = 5 hours

Step 2: Find the time Sacramento bound train takes to travel 400 miles

Speed = 60 mph

Distance = 400 miles

Time = T2

Train leaves at 7 am

Time = Distance/Speed

Time = 400/60

Time = 6.67 hours

Step 3: Calculate the time when both trains will meet

Los Angeles bound train

Leaves at 9 am

1 hour at 10 am

2 hours at 11 am

3 hours at 12 pm

4 hours at 1 pm

5 hours at 2 pm (reaches destination)

Sacramento bound train

Leaves at 7 am

1 hour at 8 am

2 hours at 9 am

3 hours at 10 am

4 hours at 11 am

5 hours at 12 pm

6 hours at 1 pm

7 hours at 2 pm

Both trains will meet at 10 am where the Los Angeles bound train reaches in 1 hour and the Sacramento bound train reaches in 3 hours.

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