Postmates, Amazon Prime Now continue to expand their reach

As on-demand delivery services continue to grow, Amazon is attempting to keep its customers happy with a new dedicated website for its Prime Now service.

Customers can now place orders for one-hour or two-hour deliveries on PrimeNow.com. Before Monday, Prime Now was exclusively a mobile app.

"We have expanded the service rapidly over the last year to new cities and customers told us that they would want the option to shop on a browser as well as mobile," Stephenie Landry, vice president of Prime Now, said in a statement.

Available to subscribers of Amazon's Prime program in about two dozen metro areas, Prime Now customers can get two-hour deliveries for free and one-hour deliveries for $7.99.

Meanwhile, the company Postmates said Monday that it's partnering with Shopify, enabling the on-demand delivery service to work with more small and medium-sized businesses. As of Tuesday morning, the service is live in nearly 200 cities in the U.S., Postmates said.