Explanation 1) Concept: Solving an expression is to find the value of unknown in the expression, which on substitution must satisfy the expression. 2) Calculation: Given, Distance between the planes = 275 mi Taking the speed of the San Francisco plane = x mph, Speed of the San Diego plane = ( x − 50 ) mph . Diagrammatically, Since, by the relation d = r t , Planes Rate (r) Speed (mph) Time (t) (hr) Distance (d) (mi) San Diego x − 50 1 2 ( x − 50 ) 1 2 San Francisco x 1 2 ( x ) 1 2 Diagrammatically the distance covered can be shown as, Now, by the application of Pythagorean theorem, ( 275 ) 2 = [ 1 2 ( x − 50 ) ] 2 + [ 1 2 ( x ) ] 2 By applying the formula ( a b ) 2 = a 2 b 2 ; ( 275 ) 2 = 1 4 ( x − 50 ) 2 + 1 4 x 2 By the formula, ( a − b ) 2 = a 2 − 2 a b + b 2 , Here, a = x and b = 50. ( 275 ) 2 = 1 4 ( x 2 − 2 ⋅ x ⋅ 50 + 50 2 ) + 1 4 x 2 ( 275 ) 2 = 1 4 ( x 2 − ( 2 ⋅ 50 ) x + 50 2 ) + 1 4 x 2 ( 275 ) 2 = 1 4 ( x 2 − 100 x + 50 2 ) + 1 4 x 2 75625 = 1 4 ( x 2 − 100 x + 2500 ) + 1 4 x 2 Since denominator is same then adding the numerator

Essentials of College Algebra (11th Edition)

11th Edition

ISBN: 9780321912251

Author: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher: PEARSON

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Chapter 1.2, Problem 22E

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The speed of the two planes one headed South to San Diego and another headed to north to San Francisco. The San Diego plane flies 50 mph slower in 12 hr the planes are 275 mi apart.

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Chapter 1.2, Problem 21E

Chapter 1.2, Problem 23E

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Chapter 1 Solutions

Essentials of College Algebra (11th Edition)

Ch. 1.1 - Prob. 1E Ch. 1.1 - Prob. 2E Ch. 1.1 - Prob. 3E Ch. 1.1 - Prob. 4E Ch. 1.1 - Prob. 5E Ch. 1.1 - Prob. 6E Ch. 1.1 - Prob. 7E Ch. 1.1 - Prob. 8E Ch. 1.1 - Prob. 9E Ch. 1.1 - Prob. 10E

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The speed of the two planes one headed South to San Diego and another headed to north to San Francisco. The San Diego plane flies 50 mph slower in 1 2 hr the planes are 275 mi apart.

To find: The speed of the two planes one headed South to San Diego and another headed to north to San Francisco. The San Diego plane flies 50 mph slower in 12 hr the planes are 275 mi apart.

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Chapter 1 Solutions

To find:

The speed of the two planes one headed South to San Diego and another headed to north to San Francisco. The San Diego plane flies 50 mph slower in 12 hr the planes are 275 mi apart.