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12 Nov 2024, 03:48
Kudos
Bookmarks
Route 2 Reduction (%): 20
Speed Increase (%): 25
Donald takes a walk through a rainforest along Route 1, traveling at a constant speed and completing it in 5 hours. The next day, he wants to finish the walk in 4 hours. To achieve this, he has two options: take a shorter route, Route 2, and walk it at the same speed as the first day, or increase his speed on Route 1 to complete it in 4 hours.
Select for Route 2 Reduction (%) the percentage by which Route 2 should be shorter than Route 1 to complete it in 4 hours at the first-day speed, and for Speed Increase (%) the percentage by which the speed should be increased on Route 1 to ensure the walk is finished in 4 hours.
Select for Route 2 Reduction (%) the percentage by which Route 2 should be shorter than Route 1 to complete it in 4 hours at the first-day speed, and for Speed Increase (%) the percentage by which the speed should be increased on Route 1 to ensure the walk is finished in 4 hours.
| Route 2 Reduction (%) | Speed Increase (%) | |
| 10 | ||
| 16.67 | ||
| 20 | ||
| 25 | ||
| 33 | ||
| 80 |
ShowHide Answer
Official Answer
Route 2 Reduction (%): 20
Speed Increase (%): 25
12 Nov 2024, 03:48
Kudos
Bookmarks
Official Solution:
Time * Speed = Distance.
If you reduce the time from 5 hours to 4 hours, you are essentially traveling only 4/5, or 80%, of the time traveled the previous day. This means you would cover only 80% of the distance. Therefore, Route 2 should be 20% shorter than Route 1 to complete it in 4 hours at the first-day speed.
If you reduce the time from 5 hours to 4 hours, so if you multiply the time by 4/5 but still want to cover the same distance, you need to balance this change by increasing the speed. To do so, the speed must be multiplied by 5/4, which equals 1.25. This corresponds to a 25% increase in speed, ensuring the same distance is covered in less time.
Correct answer:
Route 2 Reduction (%) "20"
Speed Increase (%) "25"
Bunuel
Time * Speed = Distance.
If you reduce the time from 5 hours to 4 hours, you are essentially traveling only 4/5, or 80%, of the time traveled the previous day. This means you would cover only 80% of the distance. Therefore, Route 2 should be 20% shorter than Route 1 to complete it in 4 hours at the first-day speed.
If you reduce the time from 5 hours to 4 hours, so if you multiply the time by 4/5 but still want to cover the same distance, you need to balance this change by increasing the speed. To do so, the speed must be multiplied by 5/4, which equals 1.25. This corresponds to a 25% increase in speed, ensuring the same distance is covered in less time.
Correct answer:
Route 2 Reduction (%) "20"
Speed Increase (%) "25"
