A tugboat goes 24 miles upstream and 28 miles downstream in a total of 8 hours...

A tugboat goes 24 miles upstream and 28 miles downstream in a total of 8 hours on a river that has a current of 3 mph. Find the speed of the tugboat in still water.

Solutions

Expert Solution

Let the speed of tugboat in still water be x mph.
We know that time = distance/speed
Upstream time:
Distance = 24 miles
Speed = Speed of tugboat - speed of current = x - 3

Downstream time:
Distance = 28 miles
Speed = Speed of tugboat + speed of current = x + 3

According to the question,
Total time = 8

Speed is positive to complete the task:
x = 15/2 = 7.5 mph

The speed of the tugboat in still water is 7.5 mph.

milcah answered 1 year ago

Next > < Previous

Related Solutions

A fisherman can row upstream at 4mph and downstream at 6mph. He started rowing upstream until...

A fisherman can row upstream at 4mph and downstream at 6mph. He started rowing upstream until he got tired and then rowed downstream to his starting point. How far did the fisherman row if the entire trip too 6 hours? The distance the fisherman rowed in ----- miles (Type an integer or a decimal)

4. Discuss the difference between “upstream” and “downstream” claims quality control.

What is the difference between an upstream and a downstream transfer? Does it matter what it...

What is the difference between an upstream and a downstream transfer? Does it matter what it is that is sold upstream or downstream (fixed assets, inventory, etc.)?

What are the potential upstream and downstream impacts of replacing the gravel parking lot with a...

What are the potential upstream and downstream impacts of replacing the gravel parking lot with a tru-grid system? Please explain in detail

A fisherman can row upstream at 4 mph and downstream at 6 mph. He started rowing upstream until he got tired and then rowed downstream to his starting point.

A fisherman can row upstream at 4 mph and downstream at 6 mph. He started rowing upstream until he got tired and then rowed downstream to his starting point. How far did the fisherman row if the entire trip took 6 hours? The distance the fisherman rowed is _______ mi. (Type an integer or a decimal.)

If an upstream firm and a downstream firm have a long−term contract regarding the price of...

If an upstream firm and a downstream firm have a long−term contract regarding the price of an input, a change in the market price of the input can result in either the upstream or downstream firm to incur opportunity cost. A. ture B. false

The body goes through absorptive and postabsorptive states throughout the course of 24 hours, as illustrated...

The body goes through absorptive and postabsorptive states throughout the course of 24 hours, as illustrated in Figure 25-11 in your textbook. The nutrient pools (glucose, amino acid, and fatty acid) illustrated in Figure 25-1 vary in size during these states as the body absorbs these nutrients from food, uses them for energy production, puts them into or releases them from storage, or builds/breaks down body structure.The body has multiple hormonally-driven mechanisms by which to maintain a relatively constant glucose...

. Assume that there is a market with 10 upstream intermediate-good producers and 10 downstream final-good...

. Assume that there is a market with 10 upstream intermediate-good producers and 10 downstream final-good producers. Four of these firms are vertically integrated leaving 6 independent upstream firms and 6 independent downstream firms. Each upstream firm has a constant marginal cost equal to 0. The only cost to the independent downstream firms is the price of the intermediate good. The inverse demand in the final-good market is P = 100 – QF. One unit of the intermediate good is...

Suppose a monopolistic upstream firm sells to a monopoly downstream firm. If vertical integration is impractical,...

Suppose a monopolistic upstream firm sells to a monopoly downstream firm. If vertical integration is impractical, what might the upstream firm do to reduce the distortions from the double monopoly markup?

What is meant by downstream factors? What are some examples? What are upstream factors? What are...

What is meant by downstream factors? What are some examples? What are upstream factors? What are some examples? Why would these factors have an impact on one's health? Why is it important to examine these factors when determine health inequity? Which do you feel is more important and why? Provide clear examples to support your beliefs.

Subjects