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jynaepooh
16.10.2020 •
Mathematics
Two hikers walk on a trail in the direction of increasing mile marker numbers. Mandy starts at mile marker 1 and hikes at a rate of 2.5 miles per hour. At the same time, Rita starts at mile marker 2 and hikes at a rate of 3 miles per hour. The equation 2.5h+1=3h+2 represents the number of hours h it will take Mandy to catch up with Rita.
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Ответ:
Let as consider, we need to find the number of hours h it will take Mandy to catch up with Rita.
Given:
The number of hours h it will take Mandy to catch up with Rita is represented by the equation
To find:
The value of h.
Solution:
We have,
Isolate the variable terms on one side.
Divide both sides by -0.5.
We know that, time cannot be negative. So,
.
The equation
is not true for any positive value of h.
Therefore, Mandy will never catch up with Rita.
Ответ: