SOLUTION: Hayley paddles her kayak at a speed of 9 km/h. Every morning she paddles 10 km down the river by her house and back Write an equation that represents Hayley's total paddling time

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Question 705983: Hayley paddles her kayak at a speed of 9 km/h. Every morning she paddles 10 km down the river by her house and back
Write an equation that represents Hayley's total paddling time t, where x is the speed of the river's current.
Answer by lwsshak3(11628) About Me  (Show Source):
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Hayley paddles her kayak at a speed of 9 km/h. Every morning she paddles 10 km down the river by her house and back
Write an equation that represents Hayley's total paddling time t, where x is the speed of the river's current.
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let x=speed of current in km/hr
let t=total paddling time in hrs
given speed of kayak=9
speed of kayak downstream=(9+x)
speed of kayak uptream=(9-x)
travel time=distance/speed (for downstream and upstream)
t=10/(9+x)+10/(9-x)
t=10(9-x)+10(9+x)
t=[90-10x+90+10x]/(9+x)(9-x)
t=180/(9+x)(9-x)