Market hotel                                                                                              http://www.markethotel.com.es/

The address of the Market hotel is Passatge San Antonio Abad 10, which is a little side street of Calle Comte Borrell (near house number 68). At the airport, you may either take a taxi which would be between 25 and 30 Euros, or you could take Bus A1 (from Terminal T1, I think only for Iberia flights)) or A2 (from terminal T2). The bus is fast, leaves every 20 minutes and only costs 5 Euros.You should get off at Gran Via. Gran Via is a very long street, but the bus stop Gran Via is between Calle Comte Borrell and Calle Urgell. If you leave the bus at this stop, you will have to go back a bit to Comte Borrell and then you go down Comte Borrell (facing into the direction from where you came by bus, you turn left at the intersection of Gran Via and Comte Borrell). A look at google maps will be helpful. 

Going back to the airport, you can also use A1 or A2. You walk up Comte Borrell into the direction of Gran Via, but only up to Calle Sepúlveda. The bus stop is on this street between Comte Borrell and Urgell.