Answer:
[tex]103\ seconds[/tex]
Step-by-step explanation:
Let
x-----> the length of the smaller section in seconds
y----> the length of the longer section in seconds
we know that
[tex]x+y=180[/tex] ----> equation A
[tex]\frac{x}{y}=\frac{3}{4}[/tex]
[tex]x=\frac{3}{4}y[/tex] -----> equation B
substitute equation B in equation A and solve for y
[tex]\frac{3}{4}y+y=180[/tex]
[tex]\frac{7}{4}y=180[/tex]
[tex]y=180*4/7[/tex]
[tex]y=103\ seconds[/tex]
