SOLUTION: Pete is planning to take a motorboat ride for 80 miles and then take a rowboat for another 20 miles. He figures his motorboat can travel at a rate that is twice as fast as he can r

Question 438062: Pete is planning to take a motorboat ride for 80 miles and then take a rowboat for another 20 miles. He figures his motorboat can travel at a rate that is twice as fast as he can row the rowboat. If he wants to take 3 hours for the trip, how fast will he row the rowboat?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Pete is planning to take a motorboat ride for 80 miles and then take a rowboat for another 20 miles.
He figures his motorboat can travel at a rate that is twice as fast as he can row the rowboat.
If he wants to take 3 hours for the trip, how fast will he row the rowboat?
:
Let r = speed of the rowboat
then
2r = speed of the motorboat
:
Write a time equation: time = dist/speed
:
Rowboat time + motor time = 3 hrs
+ = 3
multiply by 2s
2s* + 2s* = 2s(3)
Cancel the denominators, results
2(20) + 80 = 6s
40 + 80 = 6s
120 = 6s
s =
s = 20 mph, an incredible speed for a rowboat
:
:
Check solution using the time equation
+ =
1 + 2 = 3 hrs

RELATED QUESTIONS
A cyclist training for a distance race starts on a training ride at 7:00am trying to... (answered by stanbon)

1.) Andre rode in a bike trek from his home due north for 10 miles and then due east for... (answered by ankor@dixie-net.com)

A biker bikes west from Pima Campus going 20 mph. He has 11 miles to go. How long will... (answered by Alan3354)

Dick's motorboat can make an average 8 miles an hour. One day he sets out for a trip,... (answered by ankor@dixie-net.com)

Distance, Rate, and Time!! Ok, here goes. Bob Rodriguez, the Albany,NY sales... (answered by khwang)

Bob Rodriquez, the Albany, NY sales representative for Advanced Drafting Software, Inc.,... (answered by ankor@dixie-net.com)

harry drives his car for 15 miles at a certain speed. he then increases his speed by 10... (answered by josgarithmetic)

Please help with this problem: Norman stated across a lake 10 miles wide in is fishing... (answered by nerdybill)

harrys motorboat can make an average of 8 miles per hour . one day he sets out for a trip (answered by ankor@dixie-net.com)