Calculus

posted by .

A man is in a boat 4 miles off a straight coast. He wants to reach a point 10 miles down the coast in the least possible time. If he can row 4 miles per hour and run 5 miles per hour, where should he land the boat?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calculus

    A man launches his boat from point A on a bank of a straight river, 3 km wide, and wants to reach point B, 2 km downstream on the opposite bank, as quickly as possible. He could row his boat directly across the river to point C and …
  2. calculus

    A lighthouse is built on an exposed reef, 5.5 miles off-shore. The shoreline is perfectly straight, and a town is located 6.5 miles downshore from the point on the shoreline nearest the lighthouse. The lighthouse keeper needs to go …
  3. calculus

    A lighthouse is built on an exposed reef, 5.5 miles off-shore. The shoreline is perfectly straight, and a town is located 6.5 miles downshore from the point on the shoreline nearest the lighthouse. The lighthouse keeper needs to go …
  4. Algebra

    A coast guard helicopter receives a distress signal from a boat. the units (15,80) (55,38)represent miles. to the nearest minute, how long will it take the helicopter to reach the boat if the helicopter travels at an average speed …
  5. Math(module 4 Calculus)

    (minimum commuting time) A lighthouse lies 2 miles offshore directly across from point A of a straight coastline. The lighthouse keeper lives 5 miles down the coast from point A.What is the minimum time it will take the lighthouse …
  6. Calculus

    An offshore well is 2 miles off the coast. The refinery is 4 miles down the coast. If a laying pipe in the ocean is twice as expensive as on land, what path the pipe should follow in order to minimize the coast. Is the answer 2.1?
  7. Calculus

    You are in a boat "a" miles from the nearest point on the coast. You are to go to a point Q, which is "b" miles down the coast and 1 mile inland. You can row at 2 miles per hour and walk at 4 miles per hour. If a=3, and b=4, toward …
  8. math

    a man is in a boat 2 miles from the nearest point on the coast. He is to go to point q, 3 miles down the coast and 1 mile inland. If he can row at 2 mi/h and walk 4 mi/h toward what point on the coast should he row in order to reach …
  9. Math

    A distressed ship is 10 miles south and 8 miles east of a coast guard station. a) What bearing should the coast guard boat take to reach the distressed ship?
  10. Calculus

    A lighthouse is built on an exposed reef, 5 miles off-shore. The shoreline is perfectly straight, and a town is located 9 miles downshore from the point on the shoreline nearest the lighthouse. The lighthouse keeper needs to go from …

More Similar Questions