A boat travels 12 Mph in still water. It can travel 18 miles upstream in the same time that it can travel 24 miles downstream. What is the current of the water?

Question

asked Aug 17, 2020 181k views

1 Answer

Dgmstuart · Answer 1 · 2020-08-23T12:21:17+0000

Answer:

$1 (5)/(7)\ mph$

Explanation:

Let x mph be the current's rate.

Upstream:

Distance = 18 miles

Rate = 12 - x mph

Time
=(18)/(12-x) hours

Downstream:

Distance = 24 miles

Rate = 12 + x mph

Time
=(24)/(12+x) hours

Time is the same, so

$(18)/(12-x)=(24)/(12+x)\\ \\18(12+x)=24(12-x)\\ \\216+18x=288-24x\\ \\18x+24x=288-216\\ \\42x=72\\ \\x=(12)/(7)=1 (5)/(7)\ mph$