Quiz Active TIME REMAINING 18:53 Alina is able to swim at a rate of about 2.5 miles per hour. Talia is able to swim at a rate of 1.8 meters per second. Which statement comparing the two swimmers is accurate? 1 mile = 1,609 meters Alina swims about 0.7 miles per hour faster than Talia. Talia swims about 0.7 miles per hour faster than Alina. Alina swims about 1.5 miles per hour faster than Talia. Talia swims about 1.5 miles per hour faster than Alina.

Mathematics · Middle School · Wed Jan 13 2021

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To compare the swimming speeds of Alina and Talia, we need to convert Talia's speed from meters per second to miles per hour, so we're comparing the same units.

We know that: 1 mile = 1,609 meters, and there are 3,600 seconds in one hour (since 60 seconds in a minute and 60 minutes in an hour).

Let's convert 1.8 meters per second to miles per hour for Talia.

First, convert meters per second to meters per hour: 1.8 meters/second × 3,600 seconds/hour = 6,480 meters/hour

Now, convert meters to miles: 6,480 meters/hour ÷ 1,609 meters/mile = 4.03 miles/hour (rounded to two decimal places)

Now, we can compare Alina and Talia's speeds: Alina swims at 2.5 miles/hour, Talia swims at approximately 4.03 miles/hour.

When we compare the two speeds, it's clear that Talia swims faster than Alina. The approximate difference in their speeds is: 4.03 miles/hour - 2.5 miles/hour = 1.53 miles/hour

The correct statement is: Talia swims about 1.5 miles per hour faster than Alina.