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Two boats leave the same dock in Cairo, Illinois, at the same time. One heads north on the Mississippi River whole the three heads south. The northbound boat travels 4 miles per hour. The southbound boat goes 8 miles per hour. How long will it take them to be 54 miles apart

User TuanDT
by
4.7k points

2 Answers

5 votes

Answer:

4.5 hours

Explanation:

Every hour they grow 12 miles part.

54/12=4.5

User Hovanes Mosoyan
by
4.9k points
1 vote

Answer:

The time taken by them to be 54 miles apart is: 4.5 hours

Explanation:

Let it takes t hours for both the boats such that they are 54 miles apart.

The northbound boat travels 4 miles per hour.

Hence, the distance traveled by the northbound boat is: 4t miles.

( since the distance is the product of speed and time.

i.e.

Distance=Speed×Time)

The speed of the southbound boat is: 8 miles per hour.

This means that the distance traveled by this boat in t hours is: 8t miles

Hence, the total distance between the two boat in t hours is:

4t+8t=54

i.e.

12t=54

i.e.

t=54/12

i.e.

t=4.5 hours

Hence, the answer is: 4.5 hours