hXL for School: Practice & Problem-solvingA motorboat is capable of traveling at a speed of 10 miles per hour in still water. On a particular day, it took 30 minutes longer to travel a distance of 12 miles upstream than it took to travel the samedistance downstream. What was the rate of current in the stream on that day?smph on that day.Assignment is past dueThe rate of current was

Answered: A motorboat is capable of traveling at…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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hXL for School: Practice & Problem-solving
A motorboat is capable of traveling at a speed of 10 miles per hour in still water. On a particular day, it took 30 minutes longer to travel a distance of 12 miles upstream than it took to travel the same
distance downstream. What was the rate of current in the stream on that day?
smph on that day.
Assignment is past due
The rate of current was

Expert Solution

Step 1

$L e t t h e s p e e d o f s t r e a m b e y m i l e s p e r h o u r .$

$I n d o w n s t r e a m b o t h t h e b o a t a n d t h e c u r r e n t t r a v e l s i n t h e s a m e d i r e c t i o n . S o t h e r e s u l \tan t s p e e d o f t h e b o a t = S p e e d o f b o a t i n s t i l l w a t e r + S p e e d o f c u r r e n t = (10 + x) m i l e s p e r h o u r$

$I n u p s t r e a m b o t h t h e b o a t a n d t h e c u r r e n t t r a v e l s i n t h e o p p o s i t e d i r e c t i o n . S o t h e r e s u l \tan t s p e e d o f t h e b o a t = S p e e d o f b o a t i n s t i l l w a t e r - S p e e d o f c u r r e n t = (10 - x) m i l e s p e r h o u r$