Let's practice! You ran around the park once and twice around the field near your house in 10 minutes. At the same speed, you are also able to run around the park three times and twice around the field near your house in 22 minutes. How long do you need to go around the park once?
Answers
Answer: the time needed to circle one park is 6 minutes.
Step-by-step explanation:
Two Variable Linear Equation System
Known :
Surround the park once and twice around the field near your house in 10 minutes.
At the same speed, you are also able to run around the park three times and twice around the field near your house in 22 minutes
Asked:
System of linear equations that represent the statements above
Settlement:
For problems like this, we can use the Two Variable Linear Equation System (SPLDV) method. There are 4 ways, 2 of which are elimination which is eliminating one variable, and the other is substitution.
We change the word into a variable.
park = t
Field = l
So, the mathematical model of the statement on is known is
t + 2l = 10
3t + 2l = 22
First, we first disseminate one variable, the varaibal that we will eliminate is l.
t + 2l = 10
3t + 2l = 22
----------------- -
-2t = -12
t = -12 / (- 2)
t = 6 minutes
Next, we substitute the value of t to one of the equations to find the value of l.
t + 2l = 10
2l = 10 - 6
2l = 10 - 6
2l = 4
l = 4/2
l = 2 minutes
Because the one who was asked was only the time needed to surround our one-time park enough to arrive after getting the t value.
So, the time needed to circle one park is 6 minutes.
Hope it helps ✌
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