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A fun walk is 6 km long. Junice walked 3 km in one hour and Dineo walked 4 km in one hour. a) How far must Junice walk to finish? b) What fraction of the walk did Junice complete? c) How long will it

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Answers

6 parts
a

3 km\text{3 km}

b

12\frac{1}{2}

c

2 hours\text{2 hours}

d

2 km\text{2 km}

e

23\frac{2}{3}

f

1 hour and 30 minutes\text{1 hour and 30 minutes}

Step-by-step solution

9 steps

Here's the solution to the fun walk problem:

The total length of the fun walk is 6 km6 \text{ km}.
Junice covered 3 km3 \text{ km} in one hour.
Dineo covered 4 km4 \text{ km} in one hour.

Part a· 1 step

How far must Junice walk to finish the fun walk?

  1. Subtract the distance Junice has already walked from the total distance.

    6 km−3 km=3 km6 \text{ km} - 3 \text{ km} = 3 \text{ km}

    Junice must walk 3 km\boxed{\text{3 km}} to finish the fun walk.

Part b

12\frac{1}{2}

What fraction of the whole fun walk did Junice complete after one hour?

  1. Form a fraction with the distance Junice walked as the numerator and the total distance as the denominator.

    3 km6 km=12\frac{3 \text{ km}}{6 \text{ km}} = \frac{1}{2}

    Junice completed 12\boxed{\frac{1}{2}} of the fun walk.

Part c

2 hours\text{2 hours}

If Junice walks at the same pace, how long will it take her to finish the race?

  1. Calculate Junice's pace.

    Pace=3 km1 hour\text{Pace} = \frac{3 \text{ km}}{1 \text{ hour}}

  2. Calculate the total time needed to complete the 6 km6 \text{ km} walk at this pace.

    Time=6 km3 km/hour=2 hours\text{Time} = \frac{6 \text{ km}}{3 \text{ km/hour}} = 2 \text{ hours}

    It will take Junice 2 hours\boxed{\text{2 hours}} to finish the race.

Part d

2 km\text{2 km}

How far must Dineo walk to finish the fun walk?

  1. Subtract the distance Dineo has already walked from the total distance.

    6 km−4 km=2 km6 \text{ km} - 4 \text{ km} = 2 \text{ km}

    Dineo must walk 2 km\boxed{\text{2 km}} to finish the fun walk.

Part e

23\frac{2}{3}

What fraction of the whole fun walk did Dineo complete after one hour?

  1. Form a fraction with the distance Dineo walked as the numerator and the total distance as the denominator.

    4 km6 km=23\frac{4 \text{ km}}{6 \text{ km}} = \frac{2}{3}

    Dineo completed 23\boxed{\frac{2}{3}} of the fun walk.

Part f

1 hour and 30 minutes\text{1 hour and 30 minutes}

If Dineo walks at the same pace how long will it take him to finish the race?

  1. Calculate Dineo's pace.

    Pace=4 km1 hour\text{Pace} = \frac{4 \text{ km}}{1 \text{ hour}}

  2. Calculate the total time needed to complete the 6 km6 \text{ km} walk at this pace.

    Time=6 km4 km/hour=32 hours\text{Time} = \frac{6 \text{ km}}{4 \text{ km/hour}} = \frac{3}{2} \text{ hours}

  3. Convert the fraction of an hour to minutes.

    32 hours=1 hour+(12×60) minutes=1 hour and 30 minutes\frac{3}{2} \text{ hours} = 1 \text{ hour} + \left(\frac{1}{2} \times 60\right) \text{ minutes} = 1 \text{ hour and } 30 \text{ minutes}

    It will take Dineo 1 hour and 30 minutes\boxed{\text{1 hour and 30 minutes}} to finish the race.

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