The team practices in a pool that is 25 meters long. Sam completes a lap in 22.5 seconds. How long will it take Sam to complete a lap in an Olympic-sized competition pool that is 50 meters long if he swims at the same rate in both pools? (A lap consists of swimming from one end of the pool and back.) Show your work.
Please help me Ms Sue!
Do it the same way I just showed you.
To find out how long it will take Sam to complete a lap in the Olympic-sized competition pool, we can set up a proportion.
First, let's find out how many laps Sam completes in the 25-meter pool in 22.5 seconds. Since each lap in this pool is 25 meters, we can divide the length of the pool by the time it takes to complete a lap:
25 meters / 22.5 seconds = 1 lap / x seconds
Now, we can set up the proportion using the information given:
25/22.5 = 1/x
To solve for x, we can cross-multiply:
25x = 22.5
Divide both sides of the equation by 25 to solve for x:
x = 22.5 / 25
x = 0.9 seconds
So, in the 25-meter pool, Sam completes a lap in 0.9 seconds.
Now, let's use the proportion to find out how long it will take Sam to complete a lap in the Olympic-sized competition pool, which is 50 meters long:
25/22.5 = 1/50
Cross-multiply:
25 * 50 = 22.5 * 1
1250 = 22.5
Divide both sides of the equation by 22.5 to solve for x:
x = 1250 / 22.5
x = 55.56 seconds
So, it will take Sam approximately 55.56 seconds to complete a lap in the Olympic-sized competition pool, assuming he swims at the same rate in both pools.