Answer:
50 miles
Step-by-step explanation:
Let the miles traveled be x when cost for both taxi A and Taxi B is same
Lets calculate for Taxi A
charge to get in cab = $8
cost of traveling 1 mile = $ 0.75
cost of traveling for x miles = x * cost of traveling 1 mile= $ 0.75x
Total cost for traveling x miles = charge to get in cab +cost of traveling for x mile
Total cost for traveling x miles in Taxi A = $8 + $ 0.75x
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Lets calculate for Taxi B
charge to get in cab = $3
cost of traveling 1 mile = $ 1.25
cost of traveling for x miles = x * cost of traveling 1 mile= $ 1.25x
Total cost for traveling x miles = charge to get in cab +cost of traveling for x mile
Total cost for traveling x miles in Taxi B= $3 + $ 1.25x
As we have to find distance when cost for both is same
Thus
Total cost for traveling x miles in Taxi A=Total cost for traveling x miles in Taxi B
8 + 0.75x = 3 + 1.25x
8 - 3 = 1.25x - 0.75x
5 = 0.5x
x = 5/0.5 = 50
Thus, you must travel 50 miles so that cost in both the taxi A and Taxi B is the same
