Nancy and karen went on a trip to the mountain. nancy started her trip 30 minutes later than karen. they started from the same place and reached the mountain at the same time, 1 1/2 hours after karen started. if nancy's average speed was 50 miles per hour find karen's speed, rounded to the nearest tenth miler per hour.( show steps!

Distance = (rate)(time)
In this problem, note that both girls traveled the same distance.

Karens distance = r * 1.5 hrs          we dont know her rate
Nancy distance = 50 * 1 hr              we know she started 30 min later
                                                         but arrived at the same time

since the distances are equal
r*1.5 = 50 * 1          all you have to do is solve for r

1.5r = 50
r = 50/1.5
r = 33 1/3 miles per hour