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: