Does time of pick up affect price? (Uber and Lyft)

No, the time does not affect price, unless there is surge pricing.

For rideshare services like Uber and Lyft, the base price is the same regardless of the time you are taking the trip.  The rates are determiend by duration and distance, and per mile and per minute rates are the same day or night.

For taxis, there are cities that charge night rates that can be slightly more expensive at night. Please check TaxiFareFinder.com for more city-specific information.

The exception is when there is a surge pricing in effect, where the price can be higher than usual depending on how busy it is.  For more information about surge pricing, check this article here: 

Surge Pricing Made Simple

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Uber Driver, CEO of TaxiFareFinder and Unleashed, LLC