To find the number of kilometers for which the cost of a nighttime taxi ride in each city is the same, we can set up the following equation:
3 + 1.55x = 2.70 + 1.87x
Simplifying the equation, we get:
0.32x = 0.70
Dividing both sides by 0.32, we find:
x = 2.1875
Rounding to the nearest kilometer, we get x = 2.
Therefore, the cost of a nighttime taxi ride in each city for 2 kilometers will be the same.
In City A, the cost will be:
Base fee: $3
Charge per kilometer: $1.55
Total cost = 3 + 1.55(2) = $3 + $3.10 = $6.10
In City B, the cost will be:
Base fee: $2.70
Charge per kilometer: $1.87
Total cost = 2.70 + 1.87(2) = $2.70 + $3.74 = $6.44
Therefore, for 2 kilometers, the cost in City A will be $6.10 and the cost in City B will be $6.44.
Taxi rates are determined by local authorities. In city A, the night-time cost of a taxi includes a base fee of $3 plus a charge of $1.55 per kilometer. In city B, regardless of the time of day, the base fee is $2.70 with a charge of $1.87 per kilometer. For how many kilometers will cost of a night-time tact ride in each city be the same? Round to the nearest kilometer. What will the cost be in each city for the rounded number of kilometers?
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1 answer