Question

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?

Answer 1

Talia swims about 1.5 miles per hour faster than Alina.

Explanation:

There are 3600 seconds in an hour so

1.8 x 3600 =6480

6480 divide by 1609 = 4.02 miles / hr

4.02 - 2.5 = 1.5 (by substracting the speed). This arrives at the answer that Talia swims 1.5 miles faster.

Answer 2

Remark

Without being given choices, we can get answers but they may not be listed among your. The important think is to be working in the same units

Convert miles/hour to m/sec

`(2.5 mi)/(h)*(1 h)/(3600 sec)*(1.6 km)/(1 mi)*(1000 m)/(1 km)`

Now just multiply all the numerators together and divide by all the denominators.

Numerators: 2.5 * 1.6 * 1000 = 4000

Denominators: 3600

numerator/denominator = 4000/3600 m/s = 1.111 m/s

Conclusion

Talia is a much faster swimmer than Alina because 1.8 is greater than 1.11. Both numbers are in m/s.

2.5 miles / hour = 1.