Alicia went on a steamboat ride up the Mississippi River. The boat travels 24 miles per hour in still water. How long will it take her to travel 54 miles upstream if the current of the river is 6 miles per hour?
Please help me. (:
her speed over groundis 18mph
time=distance/speed
Thank you. (:
Alicia went on a steamboat ride up the Mississippi River. The boat travels 24 miles per hour in still water. How long will it take her to travel 48 miles upstream if the current of the river is 8 miles per hour?
To find out how long it will take Alicia to travel 54 miles upstream on a steamboat with a current, we need to consider the effects of the current on the boat's speed.
When the boat is traveling upstream, which means it's going against the current, the effective speed of the boat is reduced. This is because the current is pushing against the boat, making it more difficult to maintain its normal speed.
To calculate the time it will take Alicia to travel upstream, we can use the formula:
Time = Distance / Speed
Let's break it down step by step:
1. Calculate the effective speed of the boat.
The boat's speed in still water is 24 miles per hour, but since it's traveling upstream against a current of 6 miles per hour, the boat's effective speed will be reduced.
Effective speed = Boat's speed - Current's speed
Effective speed = 24 miles per hour - 6 miles per hour
Effective speed = 18 miles per hour
2. Now, using the time formula, we can calculate the time it will take Alicia to travel 54 miles upstream.
Time = Distance / Speed
Time = 54 miles / 18 miles per hour
Dividing 54 by 18 gives us 3, so the answer is:
Time = 3 hours
Therefore, it will take Alicia 3 hours to travel 54 miles upstream on the steamboat with a current of 6 miles per hour.