The length of Priya’s run was 2.5 times Tyler’s run.
Given
Priya ran 1 1/2 miles today, and Tyler ran 3 3/4 miles.
To determine how many times the length of Priya’s run was Tyler’s run following all the steps given below.
Let, the distance covered by Priya be x and Tyler be y.
Priya ran 1 1/2 miles today.
Then,
[tex]\rm = 1 \dfrac{1}{2}\times x\\\\= \dfrac{2\times 1+1}{2}\times x\\\\= \dfrac{2+1}{2}\times x\\\\=\dfrac{3x}{2}[/tex]
Tyler ran 3 3/4 miles.
[tex]\rm = 3 \dfrac{3}{4}\times y\\\\= \dfrac{4\times 3+3}{4} \times y\\\\= \dfrac{12+3}{4} \times y\\\\= \dfrac{15y}{4}[/tex]
On comparing both the distance
[tex]\rm \dfrac{3}{2} \times x= \dfrac{15}{4}\times y\\\\x = \dfrac{5y}{2} \\\\x = 2.5y[/tex]
Hence, the length of Priya’s run was 2.5 times Tyler’s run.
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