Strings 10

how to solve this algebra work problem?

Worker A & Worker B are electrical linemen . worker A can string 10 miles of line in 3 days , while together , they can string it all in one day . how long would it take worker B alone to string the same line ? ( i wanna knw how to solve this problem & the answer , so if you could show the work to me , i'd really appreciate it ! ) THANKS (:
uhm , how did you get (20/3) x 10 or (20/3)t = 10 ?

Worker A can string 10 miles of line in 3 days: A = (10 mi) / (3 days)

Working together, A and B can string 10 miles in 1 day: A + B = 10

When you substitute in for A, your equation looks like 10/3 + B = 10.

Subtract the 10/3 to find B: B = 30/3 - 10/3 --> B = 20/3

This shows us that Worker B can string 20 miles of line in 3 days. But the question is, how long does it take Worker B to string 10 miles of line?

So, for how long does Worker B have to work at his pace of (20 mi) / (3 days) to string 10 miles? The equation will look like B * t = 10, and you're solving for the time t.

Substitute in for B: 20*t / 3 = 10

Multiply by 3: 20*t = 30

Divide by 20: t = 30/20 --> t = 3/2 days, or 1 1/2 days.

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