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A school cross country is 2 km 500 m long. Yuyo has already run 700 m. How far must she still run? Thandi has a pace of 32 m. How many paces would she have taken after walking 1 km? Bala walks 900 m t

Mathematics

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A school cross country is 2 km 500 m2 \text{ km } 500 \text{ m} long. Yuyo has already run 700 m700 \text{ m}. How far must she still run?

  1. Convert the total distance 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 distance.

    2500 m−700 m=1800 m2500 \text{ m} - 700 \text{ m} = 1800 \text{ m}
  3. Convert the remaining distance back to kilometers and meters.

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

    Yuyo must still run 1 km 800 m\boxed{\text{1 km 800 m}}.

    :
    Thandi has a pace of 32 m32 \text{ m}. How many paces would she have taken after walking 1 km1 \text{ km}?

  4. Convert the total distance to meters.

    1 km=1000 m1 \text{ km} = 1000 \text{ m}
  5. Divide the total distance by the length of one pace to find the number of paces.

    Number of paces=Total distancePace length=1000 m32 m/pace=31.25 paces\text{Number of paces} = \frac{\text{Total distance}}{\text{Pace length}} = \frac{1000 \text{ m}}{32 \text{ m/pace}} = 31.25 \text{ paces}

    Thandi would have taken 31.25 paces\boxed{\text{31.25 paces}}.

    :
    Bala walks 900 m900 \text{ m} to school each day. How far does he walk to school and back?

  6. Calculate the total distance for a round trip (to school and back).

    Distance to school and back=Distance to school+Distance from school\text{Distance to school and back} = \text{Distance to school} + \text{Distance from school} Distance to school and back=900 m+900 m=1800 m\text{Distance to school and back} = 900 \text{ m} + 900 \text{ m} = 1800 \text{ m}
  7. Convert the total distance to kilometers and meters.

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

    Bala walks 1 km 800 m\boxed{\text{1 km 800 m}} to school and back.

    :
    The school bus travels 18 km 600 m18 \text{ km } 600 \text{ m} each day. How far does it travel in a school week?

  8. Convert the daily travel distance to meters.

    18 km 600 m=(18×1000) m+600 m=18000 m+600 m=18600 m18 \text{ km } 600 \text{ m} = (18 \times 1000) \text{ m} + 600 \text{ m} = 18000 \text{ m} + 600 \text{ m} = 18600 \text{ m}
  9. Multiply the daily distance by 5 (for 5 school days in a week).

    Total distance in a week=18600 m/day×5 days=93000 m\text{Total distance in a week} = 18600 \text{ m/day} \times 5 \text{ days} = 93000 \text{ m}
  10. Convert the total weekly distance back to kilometers.

    93000 m=930001000 km=93 km93000 \text{ m} = \frac{93000}{1000} \text{ km} = 93 \text{ km}

    The school bus travels 93 km\boxed{\text{93 km}} in a school week.

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