
Mary Y. answered 10/18/19
Patient and Understanding Algebra 1 Math Tutor
We know that Johnson swims at a constant, meaning unchangeable, speed of 6 meters every 5 seconds. Since, we are trying to find how many seconds it takes him to swim 115 meters, we can set up two ratios and set them equal, then cross multiply. This is how it should look:
6 meters 115 meters
__________ = ___________
5 seconds Χ seconds
Now, we just have to solve for X seconds. When you cross multiply, you get:
(6 meters)(X seconds) = (115 meters)(5 seconds) *Multiply the two ratios diagonally*
(6 meters)(X seconds) = 575 *Multiply the 115 meters and 5 seconds*
X seconds = 95.83 seconds *Divide 6 on both sides to solve for X*
Therefore, it takes Johnson 95.83 seconds to swim 115 meters.