Answer :
Final answer:
It takes Kyle 80 minutes to shovel both driveways.
Explanation:
Let's start by finding the areas of the two rectangular driveways. The first driveway measures 30 feet by 20 feet, so its area is 30 feet * 20 feet = 600 square feet. The second driveway measures 20 feet by 20 feet, so its area is 20 feet * 20 feet = 400 square feet.
Since Kyle shovels both driveways at the same rate per square foot, we can determine the time it takes him based on the areas. Let's assume it takes him x minutes to shovel the second driveway. Given that he takes 20 minutes longer to shovel the first driveway, it would take him x + 20 minutes to shovel the first driveway.
Now, we can set up a proportion: (x + 20 minutes) / 600 square feet = x minutes / 400 square feet. Cross-multiplying, we get 400 (x + 20) = 600x. Solving for x, we find that x = 80 minutes.
Therefore, it would take Kyle 80 minutes to shovel both driveways.
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