Question

If it takes 5 charging stations 8 hours to charge 14 car batteries, how many hours does it take for 15 charging stations to charge 42 car batteries?

Answer 1

To solve this problem, we can use the concept of ratios and proportions.

Step-by-step explanation:

To solve this problem, we can use the concept of ratios and proportions.

1. Step 1: Calculate the ratio of charging stations to car batteries from the first scenario. We have 5 charging stations for 14 car batteries, so the ratio is 5/14.
2. Step 2: Set up a proportion using the ratio from step 1. Let x represent the number of hours it takes for 15 charging stations to charge 42 car batteries. The proportion is (5/14) = (15/x).
3. Step 3: Cross-multiply and solve for x. Multiply 5 by x and 14 by 15. Then, solve the equation to find the value of x.

By following these steps, we can determine the number of hours it takes for 15 charging stations to charge 42 car batteries.