Yoon Ki drove from Phoenix to tuscan in 1 1/2 hours. then she drove from tuscan to el paso in 4 3/4 hours. the second part of her trip was how many times as long as the first part. explain answer
To find the answer, we need to compare the time it took Yoon Ki to drive from Tuscan to El Paso with the time it took her to drive from Phoenix to Tuscan.
First, let's convert the time in hours to fractions for easier calculation:
- Yoon Ki took 1 1/2 hours to drive from Phoenix to Tuscan.
- Yoon Ki took 4 3/4 hours to drive from Tuscan to El Paso.
To compare the two, we need to express the second part of the trip in terms of the first part. We can do this by dividing the time for the second part of the trip by the time for the first part:
(4 3/4) ÷ (1 1/2)
To perform this division, we need to convert the mixed fractions to improper fractions:
- 1 1/2 = (2*1 + 1) / 2 = 3/2
- 4 3/4 = (4*4 + 3) / 4 = 19/4
Now we can substitute these values into the division:
(19/4) ÷ (3/2)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(19/4) * (2/3)
Next, we can simplify the multiplication:
19 * 2 / 4 * 3 = 38/12 = 19/6
Therefore, the second part of Yoon Ki's trip, from Tuscan to El Paso, was 19/6 times as long as the first part, from Phoenix to Tuscan.
(4 3/4) / (1 1/2)
(19/4) * (2/3) = 38/12 = 3 1/6