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Underground Cables
publish date: 2024/04/25 11:45:00 UTC
volume_muteRefer to the illustration and table on the next page
- How many days will it take to install underground TV cable from the broadcasting station to the new homes using route 1?
- How long is route 2?
- How many days will it take to install the cable using route 2?
- Which route will require the fewer number of days to install the cable?
[For (d) write the number only 1 or 2]
| Proposal | Amount of cable installed per day | Comments |
| Route 1 | \(\frac25\) of a mile | Ground very rocky |
| Route 2 | \(\frac35\) of a mile | Longer than Route 1 |
Correct Answer
(1) 30
(2) 15
(3) 25
(4) 2
Explanation
- How many days will it take to install underground TV cable from the broadcasting station to the new homes using route 1?
- \(\frac{\text{route 1 length}}{\text{route 1 miles per day in}} = 12 ÷ \frac25 = 30\)
- How long is route 2?
- = 7 + 8 = 15
- How many days will it take to install the cable using route 2?
- = \(\frac{\text{route 2 length}}{\text{route 2 miles per day}} = 15 ÷ \frac35 = 25\)
- Which route will require the fewer number of days to install the cable?
- route 2
Reference
Mathematics for college students, go-math-science.com