Question

Rick is trying to incorporate more exercise into his busy schedule. He has several short exercise routines he can complete at home. Last week, he worked out for a total of $102$ minutes by doing $1$ arm routine and $4$ abdominal routines. This week, he has completed $1$ abdominal routine and spent a total of $22$ minutes exercising. How long does each routine last?

• A. An arm routine takes $22$ minutes to complete
• B. An abdominal routine takes $22$ minutes to complete.
• C. An abdominal routine takes $14$ minutes to complete.
• D. An arm routine takes $14$ minutes to complete

Answer 1

Answer: (B), (D)

The correct options are
B An abdominal routine takes $22$ minutes to complete.
D An arm routine takes $14$ minutes to complete

For $1$ abdominal routine , Rick spent $22$ minutes

For $1$ arm routine and $4$ abdominal routines , Rick spent $102$ minutes

So time spent for $1$ arm routine is $102-4\times 22=102-88=14$ minutes

Therefore options $B$ and $D$ are correct