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Distance Calculation with Time and Speed Conversion

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QuieterSchrodinger
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2 Questions

Archie can walk 1 mile in 1/3 hour. How far can he walk in 3 hours? Complete the statements to explain how you found your answer.

Archie can walk 9 miles in 3 hours. I divided 1 by 1/3.

Select all the equations that the number 7 will make true.

4÷?=4/7 ?÷14=1/2 1÷7=? 3÷?=7/3 9÷?=63

4÷?= 4/7 ​?÷14=1/2 9÷?=63

Study Notes

Problem 1: Distance and Time

  • Archie walks 1 mile in 1/3 hour, so his rate of walking is 1 mile / (1/3 hour) = 3 miles per hour.
  • To find the distance he can walk in 3 hours, multiply his rate by the time: 3 miles/hour × 3 hours = 9 miles.
  • Therefore, Archie can walk 9 miles in 3 hours.

Problem 2: Selecting Equations

  • Equations that are true when the number is 7 are:
    • 4÷?=4/7 → 4÷7=4/7
    • 1÷7=? → 1÷7=1/7
    • These two equations are true when the number is 7.

This quiz challenges students to calculate the distance Archie can walk in 3 hours, given his speed of walking 1 mile in 1/3 hour. By converting the time unit and using the formula distance = speed * time, students can easily determine the distance Archie can cover in 3 hours.

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