Answer:
- 1,333 1/3 m ≈ 1.33 km farther
- 20 km separation
Step-by-step explanation:
The answer to this involves the relation between time, speed, and distance, as well as a couple of conversion factors.
- distance = speed × time
- 1 km = 1000 m
- 1 h = 60 min
- 1 min = 60 s
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<h3>Jordan's distance</h3>
Using the above conversion factors with Jordan's time and speed, we can find the distance Jordan traveled to be ...
distance = speed × time
distance = (16 km/h) × (40 min) = (16×1000 m)/(60 min) × (40 min)
distance = 32000/3 m = 10,666 2/3 m
<h3>Sarah's distance</h3>
Using Sarah's time and speed, we find Sarah's distance to be ...
distance = (3 8/9 m/s) × (40 min) × (60 s)/(1 min) = (3 8/9)(2400) m
distance = 9333 1/3 m
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<h3>difference</h3>
The difference between Jordan's distance and Sarah's is ...
10,666 2/3 m -9,333 1/3 m = 1,333 1/3 m
Jordan cycled 1,333 1/3 meters farther than Sarah, about 1.33 km.
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<h3>separation</h3>
The two went in opposite directions, so their separation is the sum of the distances they traveled.
10,666 2/3 m +9,333 1/3 m = 20,000 m = 20 km
The two cyclists were 20 km apart at the end of 40 minutes.
