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| Math Central | Quandaries & Queries |
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Question from Marc, a parent: 8 workers dug 3/8 of a tunnel in 10 days. If the need to finish the remaining 5/8 of the tunnel in 3 1/3 days, how many more workers must they hire? |
Marc,
I can help get you started.
If 8 workers can dig 3/8 of a tunnel in 10 days then 1 worker can dig one eighth of that amount in 10 days. One eighth of three eighths is 1/8 × 3/8 = 3/64 so
1 worker can dig 3/64 of a tunnel in 10 days
3 1/3 days is one third of 10 so how much of a tunnel can 1 worker dig is 3 1/3 days?
I hope this helps,
Penny
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