# 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 point q in the least time?

1. 👍 0
2. 👎 0
3. 👁 557
1. He should row toward the nearest point. Then he can walk the diagonal to point q.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Calculus

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?

asked by Lisa on November 16, 2011
2. ### 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,

asked by ricardo on April 4, 2013
3. ### 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? b)How many miles will the coast guard boat travel? c)If the coast guard

asked by Andrew on January 6, 2015
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

asked by Loren on November 16, 2010
5. ### pre calc

Lighthouse B is 8 miles west of lighthouse A. A boat leaves A and sails 5 miles. At this time, it is sighted from B. If the bearing of the boat from B is N63E, how far from B is the boat? The boat is either ___ miles or ____ miles

asked by lauri on April 26, 2011
1. ### 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

asked by Furzeen on November 29, 2011
2. ### 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

asked by Caroline on November 8, 2016
3. ### math

a boat starts at point a p travels 15 miles due north to point r then turns due east and travels 8 more miles to the dock at point t find the distance the boat would have traveled if it had gone directly from point p to point t

asked by cathy on February 20, 2013
4. ### Math Trig

A coast guard patrol boat is 14.8 km east of the Brier Island Lighthouse. A disabled yacht is 7.5km south of the lighthouse. a) How far is the patrol boat from the yacht, to the nearest tenth of a kilometer? b) At what angle south

asked by anonymous on July 21, 2010
5. ### Vectors

A fishing boat leaves port at 8 miles per hour at a bearing of 220∘ for 5 hours, then turns to a bearing of 270∘ at 11 miles per hour for 4 hours, and finally changes to a bearing of 300∘ at 9 miles per hour for 4 hours. At

asked by Amber on November 7, 2016

More Similar Questions