The distance of the first part of Yuna's swim can be calculated using the formula:
Distance = Rate x Time
For the first part of her swim:
Distance = 1.4 mph x t hours
Distance = 1.4t miles
We know that the total distance for the entire swim is 1.9 miles, so we can set up the equation:
1.4t + 0.8(2-t) = 1.9
Simplify and solve for t:
1.4t + 1.6 - 0.8t = 1.9
0.6t + 1.6 = 1.9
0.6t = 0.3
t = 0.3 / 0.6
t = 0.5 hours
Now we can substitute t back into the distance formula for the first part of her swim:
Distance = 1.4 x 0.5
Distance = 0.7 miles
Therefore, the distance of the first part of Yuna's swim was 0.7 miles.
In training for a triathlon, Yuna swam 1.9 miles in the open ocean, which took her 2 hours. For the first part of her swim, she averaged 1.4 miles per hour. For the second part of her swim, she swam against the current and started to tire, so her average speed decreased to 0.8 mph.
A table showing Rate in miles per hour, Time in hours, and Distance in miles. The first row shows Part 1, and has 1.4, t and 1.4 t. The second row shows Part 2, and has 0.8, 2 minus t, and 0.8 left-parenthesis 2 minus t right-parenthesis.
What was the distance of the first part of Yuna's swim? Round to the nearest tenth as needed.
The distance in the first part of her swim was
________ miles
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