Question

TRAVEL Marion is travelling 500 miles by car. She drives 250 miles at an average rate of x miles per hour the first day and the remaining 250 miles at an average rate of x−5

miles per hour. Select the expression that represents the amount of time Marion spent traveling the 500 miles. (Hint: Write out the units to determine how to solve the problem.)


Multiple choice question.


A)

x(x−5)/500x−1250




B)

62,500/x(x−5)




C)

500x−1250/x(x−5)




D)

500/2x−5

Answer 1

• C) (500x - 1250)/x(x - 5)

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We know that the equation for the time is:

• time = distance / speed

Find the time at travel in the first day:

• 250/x

Find the time at travel in the second day:

• 250/(x - 5)

To find the total time add app the two expressions we got above:

• 250/x + 250/(x - 5) =
• 250[1/x + 1/(x - 5)] =
• 250(x - 5 + x)/x(x - 5) =
• 250(2x - 5)/x(x - 5) =
• (500x - 1250)/x(x - 5)

There matching choice is C.