Concept explainers
The sum of the distances two hikers walked is 53 mi, and the difference is 25 mi. What are the distances?
To find: The distances walked by two hikers.
Answer to Problem 18P
The distances they walked are 39 mi and 14 mi.
Explanation of Solution
Given information:The sum of the distances two hikers walked is 53 mi and the difference is 25 mi.
Calculation:
Let one hiker walked for ‘ x’ miles
Another hiker walked for ‘ y’ miles.
According to the given information the two equations are
Solve the system of equations using elimination method.
Add the equations to get rid the y terms.
Divide both sides by 2.
Substitute x as 39 into any of the equations to find the y .
Subtract both sides 39.
That’s one hiker walked for 39 mi and other hiker walked for 14 mi.
Conclusion: The distances are 39 mi and 14 mi.
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