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The odometer on a car goes to up 100,000 miles. The

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 1E Chapter 4.SE

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 1E

The odometer on a car goes to up 100,000 miles. The present owner of a car bought it when the odometer read 43,179 miles. He now wants to sell it: when you examine the car for possible purchase, you notice that the odometer reads 89,697 miles. What can you conclude about how many miles he drove the car, assuming that the odometer always worked correctly?

Step-by-Step Solution:

Step 1:

The odometer will count 100,000 and then reset the initial value and count again.

So,if car had actually travelled p kilometers present reading would be p(mod 100,000)

So,what we have to do is the difference in reading d.

 

Step 2:

The difference in reading is in 100,000 because we don’t know how many time the meter had completed its rotation.This says that the difference in reading is

Step 3 of 3

Chapter 4.SE, Problem 1E is Solved
Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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