SOLUTION: Ina Crespo rowed 7.5 miles down the Habashabee River in 1.5 hours, but the return trip took 2.5 hours. Find the rate Ina rows in still water and the rate of the current. Let x repr

Question 889050: Ina Crespo rowed 7.5 miles down the Habashabee River in 1.5 hours, but the return trip took 2.5 hours. Find the rate Ina rows in still water and the rate of the current. Let x represent the rate Ina can row in still water and let y represent the rate of the current.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Ina Crespo rowed 7.5 miles down the Habashabee River in 1.5 hours, but the return trip took 2.5 hours. Find the rate Ina rows in still water and the rate of the current. Let x represent the rate Ina can row in still water and let y represent the rate of the current.
***
let x=rate of rowboat in still water
let y=rate of current
x+y=rate of rowboat downstream
x-y=rate of rowboat upstream
distance/rate=travel time
..
7.5/(x+y)=1.5
7.5/(x-y)=2.5
..
1.5x+1.5y=7.5
2.5x-2.5y=7.5
..
7.5x+7.5x=37.5 (mult. by 5)
7.5x-7.5x=22.5 (mult. by 3)
add
15x=60
x=4
1.5y=7.5-1.5x=7.5-6=1.5
y=1
rate of rowboat in still water=4 mph
rate of current=1 mph
RELATED QUESTIONS
Ina Crespo rowed 18 miles down the Habashabee River in 2 hours, but the return trip took... (answered by josgarithmetic,ikleyn)

Ina Crespo rowed 20 miles down the Hashabee River in 2 hours, but the return trip took... (answered by josgarithmetic,mananth)

ina crespo rowed 12 miles down the habashabee river in 1.5 hours , but the return trip... (answered by josgarithmetic)

Ina Crespo rowed 12 miles down the Habashabee River in 1.5 hours, but the return... (answered by josgarithmetic)

Ina Crespo rowed 13.5 miles down the Habashabee River in 1.5 hours, but the return... (answered by ikleyn)

Ina Crespo rowed 7.5 miles down the Habashabee River in 1.5 hrs, but the return trip took (answered by drk)

I would be so happy if someone can help me work this out please. Ina Crespo rowed 12... (answered by ikleyn)

Pratap Puri rowed 14 miles down a river in 2 hours, but the return trip took him 3 (answered by josgarithmetic,ikleyn,MathTherapy)

Pratap Puri rowed 18 miles down the Delaware River in 2 hours, but the return trip took... (answered by lwsshak3)