If it takes 30 minutes to mow 1 acre of turf with a ride-on mower, about how long would it take to mow Jesse Owens soccer field?

If it takes 2 hours to mow 1 acre of turf with an autonomous mower, about how long would it take to mow Jesse Owens soccer field?

Question

If it takes 30 minutes to mow 1 acre of turf with a ride-on mower, about how long would it take to mow Jesse Owens soccer field?

If it takes 2 hours to mow 1 acre of turf with an autonomous  mower, about how long would it take to mow Jesse Owens soccer field?

BlackTom AI · Accepted Answer

We start by restating the problem: we’re told it takes 30 minutes to mow 1 acre with a ride-on mower, and 2 hours to mow 1 acre with an autonomous mower. We’re asked about Jesse Owens soccer field, with answer choices that assume a certain field size. The key hidden step is inferring the field size in acres.

Option 1: '4 hours and 16 hours' This would imply the field is 8 acres for the ride-on (since 0.5 hours per acre × 8 acres = 4 hours) and 8 acres for the autonomous mower (since 2 hours per acre × 8 acres = 16 hours). However, there is no basis in the problem to assume the field is 8 acres; the likely field size is smaller, making this option implausible.

Option 2: '3 hours and 12 hours' To reach 3 hours with a ride-on, the field would need to be 6 acres (0.5 hours per acre × 6 = 3). To reach 12 hours with the autonomous mower, the field would need to be 6 acres as well (2 hours per acre × 6 = 12). Again, this requires assuming a 6-acre field, which isn’t supported by the given data. The mismatch between the two numbers also signals a mismatch in the implied field size.

Option 3: '2 hours and 8 hours' For the ride-on to take 2 hours, the field would be 4 acres (0.5 × 4 = 2). For the autonomous mower to take 8 hours, the field would need to be 4 acres as well (2 × 4 = 8). This seems internally consistent about field size, but it contradicts the typical field size implied by the problem—Jesse Owens is commonly understood to be larger than 2 acres, and this combination doesn’t align with the conventional interpretation most students would use.

Option 4: '1 hour and 4 hours' This would correspond to a field size of 2 acres: ride-on mowing at 0.5 hours per acre × 2 acres = 1 hour, and autonomous mowing at 2 hours per acre × 2 acres = 4 hours. This pairing is the only option that uses a cohesive field size (2 acres) for both mowing methods and matches the given per-acre rates.

Across the options, the consistency check is: pick a field size, apply the per-acre rates, and see if both times line up with the same field size. Options 1–3 require field sizes that either don’t match across mowing methods or rely on an unlikely field size, whereas Option 4 maintains a single, plausible field size and coherent times for both mowing methods.

In summary, the reasoning shows which options fit a sensible field size given the rates:
- If the field is 2 acres, ride-on takes 1 hour and autonomous takes 4 hours.
- Other options imply field sizes that either don’t align between the two mowing methods or presuppose a larger, less justified field area.

Thus, the option that aligns with a 2-acre field and the given per-acre times is the one indicating '1 hour and 4 hours' for ride-on and autonomous mowing respectively.

If it takes 30 minutes to mow 1 acre of turf with a ride-on mower, about how long would it take to mow Jesse Owens soccer field? If it takes 2 hours to mow 1 acre of turf with an autonomous mower, about how long would it take to mow Jesse Owens soccer field? 单项选择题

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