A person travels 8 miles down a stream. In the same time they can travel 6 miles upstream. If the current of the river is 2 mph what is the rate of the still boat?

the speed of the still boat is 14 mph

Step-by-step explanation:

Let x represent the speed of the still boat.

A person travels 8 miles down a stream. Assuming he travels with the current and if the current of the river is 2 mph, it means that the total speed is (x + 2) mph

Time = distance/time

Time spent in travelling with the current is

8/(x + 2)

In the same time they can travel 6 miles upstream. Assuming he travels against the current, it means that the total speed is (x - 2) mph

Time = distance/time

Time spent in travelling against the current is

6/(x - 2) .since the time is the same, then

8/(x + 2) = 6/(x - 2)

Cross multiplying, it becomes

8(x - 2) = 6(x + 2)

8x - 16 = 6x + 12

8x - 6x = 12 + 16

2x = 28

x = 28/2

x = 14

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%