SOLUTION: A riverboat can travel downstream from port A to port B at 20 mph. It can travel upstream from port B to port A at 15 mph. If it takes 5 hours to go upstream than downstream, what

Question 848267: A riverboat can travel downstream from port A to port B at 20 mph. It can travel upstream from port B to port A at 15 mph. If it takes 5 hours to go upstream than downstream, what is the distance between ports A and B?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the time in hours to go downstream
= the time to go upstream
Let = the distance in miles from A to B
------------------
Equation for going downstream:
(1)
Equation for going upstream:
(2)
----------------------
Substitute (1) into (2)
(2)
(2)
(2)
and
(1)
(1)
(1)
the distance between A an B is 300 mi
check:
(2)
(2)
(2)
OK

RELATED QUESTIONS
A ship travel from port A to port B with distance 20 knots in 30 minutes.the ship travel... (answered by ankor@dixie-net.com)

Can someone help? Thank you. A ship leaves port and travels along a bearing of S 25... (answered by Boreal)

2 ferries sail from port A to port B. The first ferry departs again from port A after 4... (answered by dkppathak)

A ship is 30 nautical miles from port, the bearing from the ship to port is N20°E. a)... (answered by Theo)

A ship at port P sail 12km due east to port Q and then 5km due north to portR .... (answered by Boreal)

It takes 4.5 hours for a ship moving downriver to get from port A to port B. The return... (answered by josgarithmetic,MathTherapy)

how many days does a boat take to sail from Durban port to India... (answered by ramkikk66)

Port and Starboard are paddling canoes. They travel 20 miles downstream in 4 hrs. They... (answered by josmiceli)

Betty works in regional shipping. She has to calculate when a load will arrive at its... (answered by ankor@dixie-net.com)