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A school cross country race is 2 km 500 m long. Yuyo has already run 700 m. How far must she still run? 2) Thandi has a pace of 1/2 m. How many paces would she have taken after walking 32 m? 3) Bala w

Mathematics

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Problem Solving

1) A school cross country race is 2 km 500 m long. Yuyo has already run 700 m. How far must she still run?

  1. Convert the total race length to meters.

    2 km 500 m=2×1000 m+500 m=2000 m+500 m=2500 m2 \text{ km } 500 \text{ m} = 2 \times 1000 \text{ m} + 500 \text{ m} = 2000 \text{ m} + 500 \text{ m} = 2500 \text{ m}
  2. Subtract the distance Yuyo has already run from the total race length.

    2500 m−700 m=1800 m2500 \text{ m} - 700 \text{ m} = 1800 \text{ m}

    Yuyo must still run 1800 m.

  3. Convert the remaining distance back to kilometers and meters (optional, but good practice).

    1800 m=1 km 800 m1800 \text{ m} = 1 \text{ km } 800 \text{ m}

    Yuyo must still run 1 km 800 m.

    2) Thandi has a pace of 12\frac{1}{2} m. How many paces would she have taken after walking 32 m?

  4. Divide the total distance walked by the length of one pace.

    Number of paces=Total distanceLength of one pace\text{Number of paces} = \frac{\text{Total distance}}{\text{Length of one pace}} Number of paces=32 m12 m/pace\text{Number of paces} = \frac{32 \text{ m}}{\frac{1}{2} \text{ m/pace}}
  5. Perform the division.

    Number of paces=32×2=64\text{Number of paces} = 32 \times 2 = 64

    Thandi would have taken 64 paces.

    3) Bala walks 900 m to school each day. How far does he walk to school and back?

  6. Calculate the total distance for walking to school and back by multiplying the one-way distance by 2.

    Distance to school and back=900 m×2\text{Distance to school and back} = 900 \text{ m} \times 2
  7. Perform the multiplication.

    900 m×2=1800 m900 \text{ m} \times 2 = 1800 \text{ m}

    Bala walks 1800 m to school and back.

    4) The school bus travels 82 km each day. How far does it travel in a school week?

  8. Determine the number of school days in a week.

    A standard school week has 5 days.

  9. Multiply the daily distance by the number of school days in a week.

    Total distance in a school week=82 km/day×5 days\text{Total distance in a school week} = 82 \text{ km/day} \times 5 \text{ days}
  10. Perform the multiplication.

    82×5=410 km82 \times 5 = 410 \text{ km}

    The school bus travels 410 km in a school week.

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