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The answer is
(D) Talia swims about 1.5 miles per hour faster than Alina.
(D) Talia swims about 1.5 miles per hour faster than Alina.
Answer:
Talia swims about 1.5 miles per hour faster than Alina.
Step-by-step explanation:
Since, 1 miles = 1609 meter and 1 hour = 60 seconds,
⇒ [tex]\text{ 1 miles per hour } = \frac{1609}{3600}\text{ meter per seconds}[/tex]
⇒ [tex]\text{ 1 meter per seconds } = \frac{3600}{1609}\text{ miles per hours}[/tex]
Here, The speed of Alina = 2.5 miles per hour = 2.5 × 1609/3600
[tex]=\frac{4022.5}{3600} \text{ meter per seconds }[/tex]
[tex]=1.11736111\text{ meter per seconds}[/tex]
And, the speed of Talia = 1.8 meter per second,
Since 1.8 > 1.11736111
⇒ Talia swims faster than Alina.
And, the difference between their speeds = 1.8 - 1.11736111 = 0.68263889 meter per seconds
= 0.68263889× 3600/1609 miles per hour
= 1.52734618 miles per hour ≈ 1.5 miles per hour ,
⇒ Fourth option is correct.