Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Question

Chapter 5.9, Problem 10P

To determine

To determine the speed of the current.

Expert Solution & Answer

Answer to Problem 10P

It can travel 32 Km.

Explanation of Solution

Given information :

Total distance is 12 km.

Speed of currentis 3 km/hr.

Let us take the kayak speed be x.

Hence the equation shall be,

12x+3+12x−3=52060

Now we shall solve for x,

12x+3+12x−3=5206012(x−3+x+3x2−9)=1632xx2−9=4918x=4x2−364x2−18x−36=02x2−9x−18=0(2x+3)(x−6)=0x=−32,6

Hence the speed of kayak is 6 Km/hr.

Total distance travelled by kayak in still water in 5 h 20 min is 163×6=32 .

Hence it can travel 32 Km.

Chapter 5.9, Problem 9P

Chapter 5.9, Problem 11P

Chapter 5 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

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