Scott likes to run long distances. He can run 20 \text{ km}20 km20, start text, space, k, m, end text in 858585 minutes. He wants to know how many minutes (m)(m)left parenthesis, m, right parenthesis it will take him to run 52 \text{ km}52 km52, start text, space, k, m, end text at the same pace.
How long will it take Scott to run 52 \text{ km}52 km52, start text, space, k, m, end text?
Answers
Answer:
Scott will take 221 minutes to run 52 km
Step-by-step explanation:
Speed
The speed of an object can be calculated with the formula:
\displaystyle v=\frac{d}{t}v=
t
d
Where d is the distance traveled and t is the time taken.
Scott can run d=20 km in 85 minutes. Thus, his speed is:
\displaystyle v=\frac{20}{85}\ km/minv=
85
20
km/min
Now he wants to know how many minutes it will take him to run d=52 km. Solving the formula for t:
\displaystyle t=\frac{d}{v}t=
v
d
Since the speed has been already determined:
\displaystyle t=\frac{52}{\frac{20}{85}}t=
85
20
52
Multiplying by the reciprocal of the denominator:
\displaystyle t=52*\frac{85}{20}t=52∗
20
85
t = 221 min
Scott will take 221 minutes to run 52 km
Answer:
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