Answer: it took them 7 hours to travel 49 miles.
Step-by-step explanation:
The exploratory scouts travel 32 miles in eight hours.
Speed = distance/time
It means that the speed at which they travelled 32 miles is
32/8 = 4 miles per hour.
The next day they had traveled 49 miles so they increase the speed by 3 mph. It means that the speed at which they travelled 49 miles is
4 + 3 = 7 mph
Time = distance/speed
Therefore, the time it took them to travel the 49 miles is
49/7 = 7 hours