How fast does barb and Don bike?

Question

Barb can bike 32 miles in the same amount of time Don bikes 24 miles. Barb bikes 2MPhil faster than don. How fast does each person bike?

Answer 1

distance=rate*time

32=(r+2)t   Barb

24=rt     Don

32=rt+2t

32=24+2t

8=2t

t=4 hours

32=(r+2)*4

8=r+2

r=6 mph for Don

r+2=8 mph  for Barb