Can you explain the equation I need to write in order to solve problem #55? Thanks!
- Carrie and Manuel are side by side when they begin to run at the same time in the same direction around a track. Carrie runs at a constant rate of 30 seconds per lap, while Manuel runs at a constant rate of 50 seconds per lap. How many seconds after beginning to run will Carrie have run exactly 1 more lap than Manuel? A. 20 B. 40 C. 75 D. 80 E. 125
C.
Answer explanation:
Let the number of seconds after beginning to run be X;
let the number of laps run by Carrie be C;
let the number of laps run by Manuel be M.
Then, we have the following equations
(1) C = X / 30
(2) M = X / 50
(3) C = M + 1
Solving for the equations (1), (2) and (3), we have:
X / 30 = X / 50 + 1
X = 75
The complete answer explanations for the math section of Form 74E can be read here:
http://acthelper.com/act-form-73e-math-answer-explanations/
Can you send me the full test thanks!