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: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter12: Quadratic Functions

Section12.8: Joint And Combined Variation

Problem 12OE

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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

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

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

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