A boat and a plane leave from each of their ports going in the same direction at the same time. They are traveling at different speeds, but both the plane and the boat maintain their own consistent speed and direction. After a few minutes, the boat is 6 miles away from its port and the plane is 100 miles away from its port. How many miles will the plane be from its port when the boat is 54 miles away from its port?

Question

Mathematics

Yamilet Barnes

15 July, 03:30

A boat and a plane leave from each of their ports going in the same direction at the same time. They are traveling at different speeds, but both the plane and the boat maintain their own consistent speed and direction. After a few minutes, the boat is 6 miles away from its port and the plane is 100 miles away from its port. How many miles will the plane be from its port when the boat is 54 miles away from its port?

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Answers (1)

Know the Answer?

Rayne Luna · Answer 1

900 miles will the plane be from its port when the boat is 54 miles away from its port

Step-by-step explanation:

Given data

boat away = 6 miles

plane away = 100 miles

to find out

How many miles will plane be from port when boat 54 miles away from its port

solution

first we consider x distance while plane travel and boat travel 54 miles

from question given the equation will be

boat away from its port / plane away from its port = boat away from its port / plane away from its port

54 / x = 6/100

solve this equation

6 * (x) = 54 * 100

x = 54 * 100 / 6

x = 900

so 900 miles will the plane be from its port when the boat is 54 miles away from its port