Question

7-64. Maya and her family took a boat tour to see crocodiles while vacationing in

Australia. The boat goes 8 miles per hour in still water. The current of the river is 2
miles per hours. The trip downstream took 1 hours less than the return trip against the
same current. Find the total distance Maya traveled.

Answer 1

30 miles

Explanation:

Let d represent the one-way distance Maya traveled. We know her travel speeds were 2+8 = 10 mph downstream, and 8-2 = 6 mph upstream. The relation between time, speed, and distance is ...

time = distance/speed

so the difference in upstream and downstream travel times is ...

d/6 -d/10 = 1

5d -3d = 30 . . . . . multiply by 30

2d = 30 . . . . . . . . . Maya's total travel distance is 30 miles