Question

A small island is 3 miles from the nearest point P on the straight shoreline of...

A small island is 3 miles from the nearest point P on the straight shoreline of a large lake. If a woman on the island can row a boat 3 miles per hour and can walk 4 miles per​ hour, where should the boat be landed in order to arrive at a town 11 miles down the shore from P in the least​ time?

The boat should be landed _____miles down the shore from P.

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

So the boat should land 3.4 miles from point P.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions

A lighthouse is located on a small island 4 miles away from the nearest point P...

A lighthouse is located on a small island 4 miles away from the nearest point P on a straight shoreline and its light makes five revolutions per minute. How fast is the beam of light moving along the shoreline when it is 1 mile from P? Do not round your answer.
A small resort is situated on an island that lies exactly 5 miles from P, the...
A small resort is situated on an island that lies exactly 5 miles from P, the nearest point to the island along a perfectly straight shoreline. 10 miles down the shoreline from P is the closest source of fresh water. If it costs 1.6 times as much money to lay pipe in the water as it does on land, how far down the shoreline from P should the pipe from the island reach land in order to minimize the total...
A lighthouse is 5 km from the nearest point P on a straight shoreline. The light...
A lighthouse is 5 km from the nearest point P on a straight shoreline. The light revolves 2 revolutions per min. When the light is shining on the shore 1 km from point P, what is the rate of change (km/min) of the light along the shoreline? (1 revolution = 2π = 360◦ and we should use radian instead of degree.)
1) A man is in a boat 2 miles from the nearest point on the coast....
1) A man is in a boat 2 miles from the nearest point on the coast. He is to go to point Q, located 3 miles down the coast and 1 mile inland (see figure). He can row at a rate of 4 miles per hour and walk at 4 miles per hour. Toward what point on the coast should he row in order to reach point Q in the least time? (Round your answer to two decimal places. 2)...
Homing pigeons avoid flying over large bodies of water, preferring to fly around them instead. Assume...
Homing pigeons avoid flying over large bodies of water, preferring to fly around them instead. Assume that a pigeon released from a boat 10 miles from the shore of a lake (point B in the figure)flies first to point P on the shore and then along the straight edge of the lake to reach its home at L. If L is 20 miles from point A ,the point on the shore closest to the boat,and if a pigeon needs 4/3...
3. Productivity and growth policies Consider a small island country whose only industry is printing. The...
3. Productivity and growth policies Consider a small island country whose only industry is printing. The following table shows information about the small economy in two different years. Complete the table by calculating physical capital per worker as well as labor productivity. Hint: Recall that productivity is defined as the amount of goods and services a worker can produce per hour. In this problem, measure productivity as the quantity of goods per hour of labor. Year Physical Capital Labor Force...
3. Productivity and growth policies Consider a small island country whose only industry is weaving. The...
3. Productivity and growth policies Consider a small island country whose only industry is weaving. The following table shows information about the small economy in two different years. Complete the table by calculating physical capital per worker as well as labor productivity. Hint: Recall that productivity is defined as the amount of goods and services a worker can produce per hour. In this problem, measure productivity as the quantity of goods per hour of labor. Year Physical Capital Labor Force...
It is advertised that the average braking distance for a small car traveling at 70 miles...
It is advertised that the average braking distance for a small car traveling at 70 miles per hour equals 120 feet. A transportation researcher wants to determine if the statement made in the advertisement is false. She randomly test drives 38 small cars at 70 miles per hour and records the braking distance. The sample average braking distance is computed as 112 feet. Assume that the population standard deviation is 25 feet. (You may find it useful to reference the...
It is advertised that the average braking distance for a small car traveling at 70 miles...
It is advertised that the average braking distance for a small car traveling at 70 miles per hour equals 120 feet. A transportation researcher wants to determine if the statement made in the advertisement is false. She randomly test drives 35 small cars at 70 miles per hour and records the braking distance. The sample average braking distance is computed as 111 feet. Assume that the population standard deviation is 21 feet. (You may find it useful to reference the...
It is advertised that the average braking distance for a small car traveling at 65 miles...
It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet. A transportation researcher wants to determine if the statement made in the advertisement is false. She randomly test drives 36 small cars at 65 miles per hour and records the braking distance. The sample average braking distance is computed as 114 feet. Assume that the population standard deviation is 22 feet. (You may find it useful to reference the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT