let

d = the number of hours that Dan read

f = the number of hours that Dan's friend read

Dan read 5 hours more than his friend

d = 5 + f

they read a total of 14 hours:

d + f = 14

by solving the system of equations:

d = 5 + f

d + f = 14

we find:

d = 9.5 hr

f = 4.5 hr

click here to see the step by step solution of the system of equations:

Dan read 9 and a half hours.

Dan's friend read 4 and a half hours.