Answer:
Push-up = 1 second
Sit-up = 2 seconds
Step-by-step explanation:
Let the time taken for 1 push-up be 'x' and 1 sit-up be 'y'.
Given:
15 push-ups and 10 sit-ups in 35 seconds
19 push-ups and 19 sit-ups in 57 seconds.
Now, framing the above two sentences in equation form, ,we get:
[tex]15x+10y=35---1\\\\19x+19y=57---2[/tex]
Dividing equation (2) by 19, we get:
[tex]x+y=3\\\\y=3-x---3[/tex]
Plug in 'y' value in equation (1). This gives,
[tex]15x+10(3-x)=35\\\\15x+30-10x=35\\\\5x=35-30\\\\x=\frac{5}{5}=1\ s[/tex]
Now, from equation (3), we have:
[tex]y=3-1=2\ s[/tex]
Therefore, Carly does a push-up in 1 second and a sit-up in 2 seconds
