QuestionRuben runs 16 miles in 4 days and Claire runs 12 miles in 3 days. Are their speeds equal? Answer "1" for yes or "2" for no.

Studdy Solution

STEP 1

Assumptions1. Ruben runs16 miles over a4-day period. Claire runs12 miles over a3-day period3. The rate of speed is calculated by dividing the total distance by the total time

STEP 2

First, we need to find the rate of speed for Ruben. We can do this by dividing the total distance he runs by the total time.
$Rate\, of\, speed\, for\, Ruben = Total\, distance\, Ruben\, runs / Total\, time\, Ruben\, runs$

STEP 3

Now, plug in the given values for the total distance and total time for Ruben to calculate his rate of speed.
$Rate\, of\, speed\, for\, Ruben =16\, miles /\, days$

STEP 4

Calculate the rate of speed for Ruben.
$Rate\, of\, speed\, for\, Ruben =16\, miles /4\, days =4\, miles/day$

STEP 5

Next, we need to find the rate of speed for Claire. We can do this by dividing the total distance she runs by the total time.
$Rate\, of\, speed\, for\, Claire = Total\, distance\, Claire\, runs / Total\, time\, Claire\, runs$

STEP 6

Now, plug in the given values for the total distance and total time for Claire to calculate her rate of speed.
$Rate\, of\, speed\, for\, Claire =12\, miles /3\, days$

STEP 7

Calculate the rate of speed for Claire.
$Rate\, of\, speed\, for\, Claire =12\, miles /3\, days =4\, miles/day$

STEP 8

Now that we have the rates of speed for both Ruben and Claire, we can compare them to see if they are the same. $If\, (Rate\, of\, speed\, for\, Ruben = Rate\, of\, speed\, for\, Claire)\, then\, answer\, is\,1\, else\, answer\, is\,2$

STEP 9

Plug in the values for the rates of speed for Ruben and Claire.
$If\, (4\, miles/day =4\, miles/day)\, then\, answer\, is\,\, else\, answer\, is\,2$

STEP 10

Since the rates of speed for Ruben and Claire are the same, the answer is.
Ruben and Claire are running at the same rate of speed.

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