SOLUTION: . The steamboat traveled down the Ohio River at 22 mph and upstream at 14 mph. What was the steamboat's upstream travel time if it was 4 hours more than the time required to travel
Algebra.Com
Question 1208871: . The steamboat traveled down the Ohio River at 22 mph and upstream at 14 mph. What was the steamboat's upstream travel time if it was 4 hours more than the time required to travel the same distance downstream?
Answer by greenestamps(13216) (Show Source): You can put this solution on YOUR website!
Using formal algebra....
Let x be the number of hours for the downstream trip
then x+4 is the number of hours for the upstream trip
The distances -- x hours at 22 mph and (x+4) hours at 14 mph -- are the same:
22x = 14(x+4)
22x = 14x+56
8x = 56
x = 7
The boat's upstream travel time is x+4 = 11 hours.
ANSWER: 11 hours
Or....
Very informally....
The ratio of the two speeds is 22:14 = 11:7. Since the distances are the same, the ratio of times at the two speeds is 11:7.
The upstream travel time is 4 hours more than the downstream travel time. 11 is 4 more than 7, so the downstream travel time is 7 hours and the upstream travel time is 11 hours.
ANSWER: 11 hours
RELATED QUESTIONS
The steamboat traveled down the Ohio River at 22 mph and upstream at 14 mph. What was... (answered by KMST)
The barges traveled downstream at 12 mph and upstream at 7 mph. What was their downstream (answered by ikleyn,josgarithmetic,greenestamps)
A river flows at a speed of five miles per hour. A steamboat went upstream for five hours (answered by ankor@dixie-net.com)
Suppose you get on a steamboat at noon in New Orleans and steam up the Mississippi River... (answered by richwmiller)
A motorboat can travel upstream on a river at 12 mph and downstream at 20 mph. How far... (answered by ankor@dixie-net.com)
A ferry boat takes people up and down the river 40 miles between two towns. The boat... (answered by ankor@dixie-net.com)
the current in the river flowed at 3 mph. that boat could travel 24 miles downstrea in... (answered by stanbon)
you row upstream at 3 mph and return on the same route at 6 mph. what was your average... (answered by josmiceli)
a steamboat travels 12mi downstream in only 2h. the return trip upstream takes 3h. find... (answered by ptaylor)