Final answer:
To calculate the distance Myra swims, 3/5 of Luke's distance of 2.4 miles is added to his distance, resulting in a total of 3.84 miles that Myra swims.
Step-by-step explanation:
To solve for the distance Myra swims, we need to add the additional distance she swims to the distance that Luke swims. We are told in the question that Luke swims 2 4/10 miles, which can also be written as 2.4 miles. Myra swims 3/5 of a mile farther than Luke. Therefore, we need to calculate 3/5 of 2.4 miles and add it to Luke's distance to find Myra's total swimming distance.
First, convert 3/5 to a decimal to make the multiplication easier:
- 3 divided by 5 equals 0.6.
Next, multiply 0.6 by Luke's distance:
- 0.6 multiplied by 2.4 equals 1.44.
Finally, add this result to Luke's swimming distance to find Myra's distance:
- 2.4 miles + 1.44 miles equals 3.84 miles.
Therefore, Myra swims 3.84 miles.