Uber VS Lyft
Uber charges a base fare of $3.55, $0.25 per minute and $1.40 per mile.
Lyft charges a base fare of $3.75, $0.29 per minute and $1.16 per mile.
Suppose you had to take a trip lasting 10 miles. How many minutes would the ride have to last in order for the Uber ride to be cheaper?
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1 solution
Let the duration of the ride be x minutes
Price of Uber = $ 3 . 5 5 + $ 0 . 2 5 × x + $ 1 . 4 0 × 1 0 = $ 1 7 . 5 5 + $ 0 . 2 5 x
Price of Lyft = $ 3 . 7 5 + $ 0 . 2 9 × x + $ 1 . 1 6 × 1 0 = $ 1 5 . 3 5 + $ 0 . 2 9 x
Now, we want the Uber ride to be cheaper:
Uber < Lyft
$ 1 7 . 5 5 + $ 0 . 2 5 x < $ 1 5 . 3 5 + $ 0 . 2 9 x $ 0 . 0 4 x > $ 2 . 2 0 x > $ 0 . 0 4 $ 2 . 2 0
⟹ x > 5 5 minutes.
Therefore, the ride will have to be About 60 minutes