Question

A 180 second song is divided into 2 sections. The ratio of the two sections is 3:4. What is the length, to the nearest second, of the longer

Answer 1

`103\ seconds`

Explanation:

Let

x-----> the length of the smaller section in seconds

y----> the length of the longer section in seconds

we know that

`x+y=180` ----> equation A

`(x)/(y)=(3)/(4)`

`x=(3)/(4)y` -----> equation B

substitute equation B in equation A and solve for y

`(3)/(4)y+y=180`

`(7)/(4)y=180`

`y=180*4/7`

`y=103\ seconds`