Math Problem Statement

Use the timetable to work out which train takes more than two hours to go from Station A to Station B.

Solution

To determine which train takes more than two hours to travel from Station A to Station B, let's calculate the travel times for each train:

  1. Train A:

    • Departure: 0700
    • Arrival: 0839
    • Travel time: 083907000839 - 0700

    Converting these times to minutes:

    • 0700: 7×60+0=4207 \times 60 + 0 = 420 minutes
    • 0839: 8×60+39=5198 \times 60 + 39 = 519 minutes

    Travel time: 519420=99519 - 420 = 99 minutes

  2. Train B:

    • Departure: 0715
    • Arrival: 0848
    • Travel time: 084807150848 - 0715

    Converting these times to minutes:

    • 0715: 7×60+15=4357 \times 60 + 15 = 435 minutes
    • 0848: 8×60+48=5288 \times 60 + 48 = 528 minutes

    Travel time: 528435=93528 - 435 = 93 minutes

  3. Train C:

    • Departure: 0745
    • Arrival: 0959
    • Travel time: 095907450959 - 0745

    Converting these times to minutes:

    • 0745: 7×60+45=4657 \times 60 + 45 = 465 minutes
    • 0959: 9×60+59=5999 \times 60 + 59 = 599 minutes

    Travel time: 599465=134599 - 465 = 134 minutes

  4. Train D:

    • Departure: 0800
    • Arrival: 0939
    • Travel time: 093908000939 - 0800

    Converting these times to minutes:

    • 0800: 8×60+0=4808 \times 60 + 0 = 480 minutes
    • 0939: 9×60+39=5799 \times 60 + 39 = 579 minutes

    Travel time: 579480=99579 - 480 = 99 minutes

To determine if the travel time exceeds two hours, we convert two hours to minutes: 2×60=1202 \times 60 = 120 minutes.

Only Train C has a travel time of more than 120 minutes (134 minutes).

Therefore, the train that takes more than two hours to travel from Station A to Station B is Train C.

Do you want more details or have any questions?

Here are 5 related questions for further practice:

  1. How long does it take for Train A to travel from Station A to Station B?
  2. Which train has the shortest travel time between Station A and Station B?
  3. Calculate the average travel time of all trains from Station A to Station B.
  4. If Train B's departure time was delayed by 10 minutes, what would be the new travel time?
  5. What is the total travel time of all trains combined?

Tip: When calculating time differences, it's helpful to convert everything to a common unit (such as minutes) to simplify the subtraction.

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Math Problem Analysis

Mathematical Concepts

Time Calculation
Time Difference
Unit Conversion

Formulas

Time difference = Arrival time - Departure time
1 hour = 60 minutes

Theorems

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Suitable Grade Level

Grades 4-6