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, Time taken to travel by car = 20 min Time taken to travel by bike = 45 min Taking the average speed of the bike = x mph Average speed of the car = ( x + 4.5 ) mph Travel Rate (r) (mph) Time (t) (min) Bike x 45 Car x + 4.5 20 For calculation all the units of measurements should be in uniform. Here, rate is given in hour but time in minutes. Hence, it is necessary to convert the time from the unit of minutes to hour. (i) 45 min = 45 60 hr 45 min = 3 4 hr (ii) 20 min = 20 60 hr = 2.10 3.2.10 hr 20 min = 1 3 hr Travel Rate (r) (mph) Time (t) (Hr) Distance (d) (mi) Bike x 3 4 3 4 x Car x + 4.5 1 3 1 3 ( x + 4.5 ) Now the distance travelled at the rate of ‘ r ’ and at the time ‘ t ’ is given by the formula. d = r t . Case (i) Travelling by Bike, r = x mph t = 3 4 hr Distance travelled, d = x . 3 4 d = 3 4 x ⇒ 1 Case (ii) Travelling by car, r = x + 4

Pearson eText for Essentials of College Algebra -- Instant Access (Pearson+)

12th Edition

ISBN: 9780137517077

Author: Margaret Lial, John Hornsby

Publisher: PEARSON+

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Chapter 1.2, Problem 21E

To determine

To find:

The distance travelled by David to his work, which he gets to work in 20 min by car and 45 min by bike with an average speed of 45 min by bike with an average speed of 4.5 mph greater than the average speed on his bike.

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Chapter 1.2, Problem 20E

Chapter 1.2, Problem 22E

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Chapter 1 Solutions

Pearson eText for Essentials of College Algebra -- Instant Access (Pearson+)

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 distance travelled by David to his work, which he gets to work in 20 min by car and 45 min by bike with an average speed of 45 min by bike with an average speed of 4.5 mph greater than the average speed on his bike.

To find: The distance travelled by David to his work, which he gets to work in 20 min by car and 45 min by bike with an average speed of 45 min by bike with an average speed of 4.5 mph greater than the average speed on his bike.

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Chapter 1 Solutions

To find:

The distance travelled by David to his work, which he gets to work in 20 min by car and 45 min by bike with an average speed of 45 min by bike with an average speed of 4.5 mph greater than the average speed on his bike.