Chapter 3: Q. 296 (page 390)

Two boats leave the same dock in Cairo at the same time. One heads north on the Mississippi River while the other heads south. The northbound boat travels four miles per hour. The southbound boat goes eight miles per hour. How long will it take them to be $54$ miles apart?

Short Answer

Expert verified

It will take them $4.5 h o u r s$ to be $54 m i l e s$ apart.

Step by step solution

Step 1. Given Information.

Speed of northbound boat $= 4 m i l e s / h r$

Speed of southbound boat $= 8 m i l e s / h r$

Total distance $= 54 m i l e s$

Step 2. Solving the equations.

Let the required time be $t h o u r s$ .

We know, $D i s \tan c e = S p e e d \times T i m e .$

Distance traveled by northbound boat $= 4 t m i l e s$

Distance traveled by southbound boat $= 8 t m i l e s$

Therefore,

$4 t + 8 t = 54 12 t = 54 t = \frac{54}{12} t = \frac{9}{2} t = 4.5$

It will take them $4.5 h o u r s$ to be $54 m i l e s$ apart.

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Two boats leave the same dock in Cairo at the same time. One heads north on the Mississippi River while the other heads south. The northbound boat travels four miles per hour. The southbound boat goes eight miles per hour. How long will it take them to be $54$ miles apart?

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Solving the equations.

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Two boats leave the same dock in Cairo at the same time. One heads north on the Mississippi River while the other heads south. The northbound boat travels four miles per hour. The southbound boat goes eight miles per hour. How long will it take them to be 54miles apart?

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Solving the equations.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Geometry

Calculus

Logic and Functions

Theoretical and Mathematical Physics

Pure Maths

Study anywhere. Anytime. Across all devices.

Two boats leave the same dock in Cairo at the same time. One heads north on the Mississippi River while the other heads south. The northbound boat travels four miles per hour. The southbound boat goes eight miles per hour. How long will it take them to be $54$ miles apart?