Question

can anyone help? Will give Brainly + 22 pts

Question: It takes a boat 2 hours to travel 24 miles downstream and 4 hours to travel 32 miles upstream.

What is the speed of the boat in still water ? The boat travels at ________ miles per hour in still water.

What is the speed of the current of the river? The speed of the current is_____ miles per hour.

Answer 1

Answer: Boat=10mph, Current Speed=2mph

Step-by-step explanation:

Downstream:

2hrs - 24miles => 1hr - 12miles, ie, 12mph

Upstream:

4hrs - 32miles => 1hr - 8 miles, ie, 8mph

Downstream speed is the speed of boat (b) + current speed (c)

Upstream speed is the speed of boat (b) - current speed (c)

So we have a set simultaneous equation:

b + c = 12

b - c = 8

Adding them together, 2b = 20, b = 10.

Replacing the value of b in one equation, 10 + c = 12, c=2.