Question

Mike hiked to a lake in 3.5 hours at an average rate of 3 2/5 miles per hour. Pedro hiked the same distance at a rate of 3 4 /5 miles per hour. How long did it take Pedro to reach the lake? Round to the hundredths place.

Answer 1

Math is not about getting the answer right it is about knowing the method. Thank u

1. Mike hiked to the lake in 3.5 hours at a rate of 3 2/5 miles per hour. To find the distance he traveled, we multiplied his average rate by the time: (3 2/5) * 3.5 = 3.4 * 3.5 = 11.9 miles.

2. Pedro hiked the same distance as Mike. We can set up a proportion to find Pedro's time: (3 4/5 miles per hour) / x hours = 11.9 miles / 1 hour.

3. To solve the proportion, we can cross multiply: (3 4/5) * 1 = 11.9 * x.

4. Simplifying, we have: (19/5) = 11.9 * x.

5. To isolate x, we divide both sides of the equation by 11.9: (19/5) / 11.9 = x.

6. Evaluating the division on the left side of the equation, we have 3.8 / 11.9 = x.

7. Calculating the division, we find that x ≈ 0.319.

Therefore, it took Pedro approximately 0.32 hours, or 0.32 * 60 minutes = 19.2 minutes to reach the lake.

Explanation:

Answer 2

3.4(3.5) = 3.8h

h = about 3.13 hours

It took Pedro about 3.13 hours to reach the lake.