Question

The Central Pacific Company laid an average of 9.6 miles of track per month. Together the two companies laid a total of 1775 miles of track. Determine the average number of miles of track laid per month by the Union Pacific Company.

Answer 1

The average track laid by the Union Pacific Company per month is 15.1 miles track per month.

"Your question is not complete, it seems to be missing the following information";

the two companies met at Utah, approximately 6 years after the construction began.

The given parameters;

• the average track laid by  Central Pacific Company  = 9.6 miles track per month

• the total track laid by the two companies, t = 1775 miles track
• duration of the construction = 6 years

let the average track laid by the Union Pacific Company per month = y

The average track laid by the Union Pacific Company per month is calculated as follows;

(12 x 6 )9.6 + (12 x 6)y = 1775

691.2 + 72y = 1775

72y = 1775 - 691.2

72y = 1083.8

$y = \frac{1083.8}{72} \\\\y = 15.1 \ miles\ track\ per \ month$

Thus, the  average track laid by the Union Pacific Company per month is 15.1 miles track per month.

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