39.5k views
2 votes
A motorboat travels 215 miles in 5 hours going upstream. It travels 275 miles going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?​

A motorboat travels 215 miles in 5 hours going upstream. It travels 275 miles going-example-1
User Nachodd
by
4.5k points

2 Answers

0 votes

this is only a quick addition to the great posting above by jesscmheasley.

b = speed of the boat in still water

c = speed of the current

when going Upstream, the boat is not really going "b" fast, is really going slower, is going "b - c", because the current is subtracting speed from it, likewise, when going Downstream the boat is not going "b" fast, is really going faster, is going "b + c", because the current is adding its speed to it.

now keeping in mind that d = rt, distance = rate * time, check the work above by jesscmheasley.

User Orel Biton
by
4.5k points
2 votes

Answer:

the boat is traveling at 49 mph and the current is 6 mph

Explanation:

A motorboat travels 215 miles in 5 hours going upstream. It travels 275 miles going-example-1
User Combo
by
4.8k points