It takes Lucy 20 minutes to bike the pool 3 1/2 minutes per lap to swim in the pool it takes Dan 30 minutes to jog to the and 2 3/4 minutes per lap to swim in the pool how many laps must Lucy swim in order for her to spend the same amount or more minutes exercising than Dan
Vuyjky
To find out how many laps Lucy must swim in order to spend the same amount or more minutes exercising than Dan, we need to compare the time spent by both of them in two activities: biking and swimming for Lucy, and jogging and swimming for Dan.
Let's calculate the time Lucy spends biking. Given that it takes her 20 minutes to bike the pool, we don't need any additional information.
Next, let's calculate the time Dan spends jogging. Given that it takes him 30 minutes to jog to the pool, we don't need any additional information here either.
Now, let's calculate the total time Lucy spends swimming. We know that she takes 3 1/2 minutes per lap to swim. To determine the total time swimming, we'll multiply the time per lap by the number of laps she needs to swim.
Finally, let's calculate the total time Dan spends swimming. We know that he takes 2 3/4 minutes per lap to swim. Similar to Lucy, we'll multiply the time per lap by the number of laps he needs to swim.
Comparing the total times spent by both Lucy and Dan, we can determine the number of laps Lucy needs to swim to spend the same amount or more minutes exercising than Dan.
Depends on how many laps Dan swims. If Lucy swims L laps and Dan swims D laps, then you want L such that
20 + 3 1/2 L >= 30 + 2 3/4 D