Question

If I do my maths homework at a rate of 1.6 questions per minute, it will take me 47 minutes to complete. What rate is needed to complete it in 34 minutes? Give your answer correct to 1 decimal place.

A. 1.9 questions per minute
B. 2.4 questions per minute
C. 1.3 questions per minute
D. 2.0 questions per minute

Answer 1

The rate needed to complete the math homework in 34 minutes is approximately 1.2 questions per minute.

Step-by-step explanation:

To find the rate needed to complete the math homework in 34 minutes, we can set up a proportion using the given information. The original rate is 1.6 questions per minute, and it takes 47 minutes to complete. Let's call the new rate x questions per minute. The proportion can be set up as:

1.6 questions per minute = x questions per 34 minutes

Cross-multiply and solve for x:

1.6 * 34 = x * 47

x = (1.6 * 34) / 47 = 1.15404255319

Therefore, the rate needed to complete the math homework in 34 minutes is approximately 1.2 questions per minute