They will drive 200 miles before paying same amount.
Let the number of miles that they will drive together and pay the same amount be represented by x.
Since Hana's car rental company charges $50 per day and then $0.40 per mile, this can be represented as:
= 50 + (0.40 × x)
= 50 + 0.40x
Since Peter rents a car from a different company that charges $70 per day and then $0.30 per mile, this will be:
= 70 + (0.30 × x)
= 70 + 0.30x
Then we will equate both Hana's and Peter's equation together and this will be:
50 + 0.40x = 70 + 0.30x
Collect like terms
0.40x - 0.30x = 70 - 50
0.1x = 20
x = 20/0.1
x = 200
In conclusion, they will drive 200 miles before paying thesame amount
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