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Please explain how to solve this problem

A motorboat can maintain a constant speed of 45 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 34 ​minutes; the return trip takes 26 minutes. What is the speed of the​ current?

The speed of the current is _ ​mile(s) per hour.


Sagot :

Answer: Distance upstream = (34-c)(39/60) miles

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Distance downstream = (34+c)(29/60) miles

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Equation:

distance = rate*time

 

distance up = distance down

(34-c)(39/60) = (34+c)(29/60)

Multiply both sides by 60 to get:

39(34-c) = 29(34+c)

39*34 - 39c = 29*34 + 29c

68c = 340

c = 5 mph (speed of the current)

Step-by-step explanation: I'm not sure if this will help you but I hope it does!