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24 December, 06:24

At a bus station, buses begin their routes at 6. am. The schedule for two of the buses is based on time intervals listen below-

*Bus A leaves every 75 minutes.

*Bus B leaves every 15 minutes.

What is the next time Bus And Bus B will leave the bus station at the Same time.

Part B

It takes a steamboat 12 hours to travel 300 miles, How many miles does the steamboat travel per hour?

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Answers (1)
  1. 24 December, 09:22
    0
    Part A: The two buses leave the bus station at 7 : 15 am

    Part B: The steamboat travels 25 miles per hour

    Step-by-step explanation:

    * Lets explain how to solve the problem

    Part A

    - Buses begin their routes at 6 am at a bus station

    - Bus A leaves every 75 minutes

    - Bus B leaves every 15 minutes

    - We want to know the next time Bus A and Bus B will leave the bus

    station at the Same time

    # Bus A

    ∵ Bus A leaves every 75 minutes

    - Lets change 75 minutes to hours and minutes

    ∵ 1 hour = 60 minutes

    ∴ 75 minutes = 75/60 = 5/4

    - Change 5/4 to mixed number

    ∵ 5/4 = 1 1/4

    ∴ 75 minutes = 1 1/4 hours

    - Lets change 1/4 hour to minutes

    ∴ 1/4 * 60 = 15 minutes

    ∴ 75 minutes = 1 hour and 15 minutes

    ∵ Bus A leaves the station at 6 am

    - Add 1 hour and 15 minutes to that time

    ∵ 6 + 1 : 15 = 7 : 15

    ∴ Bus A leaves the station nest time at 7 : 15 am

    # Bus B

    ∵ Bus B leaves every 15 minutes

    ∵ Bus B leaves the station at 6 am

    - Add 15 minutes to 6 am

    ∴ Bus B leaves the station next time at 6 : 15 am

    - Add another 15 minutes for next time

    ∴ Bus B leaves the station next time at 6 : 30 am

    - Add another 15 minutes for next time

    ∴ Bus B leaves the station next time at 6 : 45 am

    - Add another 15 minutes for next time

    ∵ 15 + 45 = 60 ⇒ add 6 by 1 because 60 minutes = 1 hour

    ∴ Bus B leaves the station next time at 7 am

    - Add another 15 minutes for next time

    ∴ Bus B leaves the station next time at 7 : 15 am

    - The 2 buses leave the station at the same time again at 7:15 am

    * The two buses leave the bus station at 7 : 15 am

    Part B

    - It takes a steamboat 12 hours to travel 300 miles

    - We need to find how many miles it travels per hour

    ∵ The steamboat travels 300 miles in 12 hours

    - Divide the distance by the time to find its rate

    ∵ 300 : 12 = 25

    - That means it travels 25 miles per hour

    ∴ The steamboat travels 25 miles per hour
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