sue can swim 460 meters in 20 minutes. If she doubles her speed,how many meters will she swim in 7 minutes?
2(460)/20 = x/7
Solve for x.
420*2=920
920/20=46
46=x/7
46*7=7*7
322=x
To find out how many meters Sue will swim in 7 minutes after doubling her speed, we need to determine her original speed and then calculate the new distance.
Let's first calculate Sue's original speed:
Speed = Distance / Time
Speed = 460 meters / 20 minutes
To simplify the calculation, let's convert 20 minutes to hours:
20 minutes = 20/60 hours = 1/3 hours
Speed = 460 meters / (1/3 hours)
Speed = 460 meters * 3/1
Speed = 1380 meters/hour
Since Sue doubled her speed, her new speed would be:
New speed = 1380 meters/hour * 2
New speed = 2760 meters/hour
Now, let's calculate the distance Sue will swim in 7 minutes at her new speed:
Distance = Speed * Time
Distance = 2760 meters/hour * 7 minutes
To simplify the calculation, let's convert 7 minutes to hours:
7 minutes = 7/60 hours = 7/60 hours
Distance = 2760 meters/hour * 7/60 hours
Distance = 322 meters
Therefore, Sue will swim 322 meters in 7 minutes after doubling her speed.
To find out how many meters Sue will swim in 7 minutes, we can use the concept of speed.
First, let's calculate Sue's current speed. We know that she can swim 460 meters in 20 minutes. So, her speed can be calculated by dividing the distance she covers by the time taken.
Sue's current speed = distance/time = 460 meters / 20 minutes = 23 meters/minute.
Now, since Sue is doubling her speed, her new speed will be twice her current speed: 2 * 23 meters/minute = 46 meters/minute.
To find out how many meters Sue will swim in 7 minutes, we'll multiply her new speed by the time taken.
Distance Sue will swim = speed * time = 46 meters/minute * 7 minutes = 322 meters.
Therefore, Sue will swim 322 meters in 7 minutes when she doubles her speed.