Consuela walked from her home to the fitness center at 6 kmh She stayed at the fitness center for 45 minutes then got a ride home at 48 kmh If she retured 1.5 hrs after starting what is the distance?

Answer 1

you know, I did that same problem tonight and it stumped me until I just typed it into my search browser and found it! But here is the answer: 4km.

Here's why: you need to pick a variable for the time it took to get the fitness center;x.

Next, you need to figure out the total time it took to get there and back. Since it took 1.5 hours, or 90 minutes, for the entire trip, and she stayed at the fitness center for 45 minutes, the time it took to get there and back is 45 minutes, or 0.75 hours.

Obviously, the distance there and the distance back are the same. The times it took both times are different, however. Since we have said that the time it took to get to the fitness center is x, then the time it took to get home is 0.75-x. If you don't understand why that is, think of it like a fact family: if a+b=c, then c-b=a. Did that help? If not, just keep watching and it'll probably click.

Since the distances are the same, and we have all of the information we have established, we can set up an equation: 6x=48(0.75-x)

then we can solve: 6x=36-48x 54x=36

x= 2/3

you're not done yet! Find the actual distance it took by multiplying the speed she went to get there by the time it took to get there: 6(2/3)=4km