QuestionJulie swims 50 yards in 250 seconds. How many minutes to swim 140 yards?

Studdy Solution

STEP 1

Assumptions1. Julie swims at a constant speed. . The distance she swims is directly proportional to the time it takes.
3. The conversion rate from seconds to minutes is60 seconds =1 minute.

STEP 2

First, we need to find out how many seconds it takes for Julie to swim1 yard. We can do this by dividing the total time by the total distance.
$Time\, per\, yard = Total\, time / Total\, distance$

STEP 3

Now, plug in the given values for the total time and total distance to calculate the time per yard.
$Time\, per\, yard =250\, seconds /50\, yards$

STEP 4

Calculate the time per yard.
$Time\, per\, yard =250\, seconds /50\, yards =\, seconds/yard$

STEP 5

Now that we have the time per yard, we can find out how many seconds it would take for Julie to swim140 yards. We can do this by multiplying the time per yard by the total distance.
$Total\, time = Time\, per\, yard \\times Total\, distance$

STEP 6

Plug in the values for the time per yard and the total distance to calculate the total time.
$Total\, time =5\, seconds/yard \\times140\, yards$

STEP 7

Calculate the total time in seconds.
$Total\, time =5\, seconds/yard \\times140\, yards =700\, seconds$

STEP 8

Now that we have the total time in seconds, we can convert this to minutes by dividing by60 (since there are60 seconds in a minute).
$Total\, time\, in\, minutes = Total\, time\, in\, seconds /60$

STEP 9

Plug in the value for the total time in seconds to calculate the total time in minutes.
$Total\, time\, in\, minutes =700\, seconds /60$

STEP 10

Calculate the total time in minutes.
$Total\, time\, in\, minutes =700\, seconds /60 =.67\, minutes$ It would take Julie approximately.67 minutes to swim140 yards.

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