The total miles that can be traveled for $2 is 13.5 miles.
Let the number of- miles that can be traveled be m
As per the given information, 3.25+0.70(m−1)=12
⇒3.25+0.7m−0.7=12
⇒2.55+0.7m=12
⇒0.7m=9.45
⇒m=13.5
Hence1, the total miles that can be traveled for $2 is 13.5 miles.
our your $12 and give the cabby $3.25 as soon as you have traveled a half-mile, you now have 12-3.25=8.75 dollars left. Then when you have traveled another mile from that point, you give him $0.70. You now have 8.75-0.70=8.05 dollars left. Then you do this every mile until you don't have enough money to pay for another mile. How many times do you get to pay the cabby $0.70? This is the number of miles you have traveled, plus the half-mile you paid for at first.
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