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Two taxi services offer different prices. Taxi A charges an initial fee of $5 and charges an additional $1.25 per mile driven. Taxi B charges an initial fee of $8 and charges an additional $0.75 per mile driven. For a certain drive, the cost of using Taxi A is $2 greater than the cost of using Taxi B. How long is this drive?

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Adioabiolaidn

The no. of miles driven for the cost of using Taxi A to be $2 greater than the cost of using Taxi B is; 10 miles.

For taxi A;

  • C(a) = 5 + 1.25m

For taxi B;

  • C(b) = 8 + 0.75m

According to the question;

  • For a certain drive, the cost of using Taxi A is $2 greater than the cost of using Taxi B.

I.e; When m = m; C(a) = C(b) + 2.

Therefore;

  • C(b) +2 = 5 + 1.25m...........eqn(1)

  • C(b) = 8 + 0.75m......eqn(2)

The no of miles driven can then be evaluated by solving the equation simultaneously;

Substraction of eqn(2) from (1) ; we have;

  • 2 = -3 + 0.5m

  • 5 = 0.5m

  • m = 5/0.5

  • m = 10 miles.

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