Question 1160253
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The hire fee is fixed, so the difference between the two bills is because of the difference in the number of kilometers.<br>
The difference between the two bills is $16.10; and we know the rate per kilometer is a multiple of $0.10.  That means we need to find how to factor $16.10 as the product of a whole number of kilometers and a rate which is a multiple of $0.10.<br>
There is only one way to do that: 7*$2.30.<br>
So the rate per kilometer is $2.30.<br>
Now we use that rate along with the fact that the hire rate is a whole number of dollars to determine the hire rate.<br>
The total for the older bill was $21.80.  If that is a whole number of dollars plus some multiple of $2.30, then the number of kilometers had to be 6.  So the cost for the distance traveled was 6*$2.30 = $13.80; and that means the hire fee is $21.80-$13.80 = $8.<br>
So her last journey, with a total bill of $37.90, was $8 for the hire and the rest for the distance traveled.  $37.90-$8 = $29.90; $29.90/$2.30 = 13.<br>
So the distance for her last journey was 13 kilometers.<br>