Chapter 4.CR, Problem 51CR

### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728

Chapter
Section

### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728
Textbook Problem

# In his speedboat Joey can travel the 12 miles between the Boat Tree Marina and the Swamp House Restaurant in half the time it takes him to travel the same distance in his jon boat. The rate of the speedboat is 8 miles per hour faster than the jon boat. Find the rate of both boats.

To determine

To find:

The rate of Joey and jon boat.

Explanation

Approach:

For the uniform-motion problems time travel can be express as.

t=dv

Here, distance travelled is d, uniform rate or speed during travelling is v and time taken during travelling is t.

Calculation:

Consider the uniform rate of Joey is v then the rate of jon becomes (vâˆ’8) in miles per hour.

Mention in the problem time taken by Joey is half of the time taken by joy.

Timeâ€‰takenâ€‰byâ€‰Joey=12(Timeâ€‰takenâ€‰byâ€‰jon)12v=12(12vâˆ’8)12v=6vâˆ’8

Multiply v(vâˆ’8) on both sides.

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