1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mice21 [21]
2 years ago
10

Michael Chan leaves a dock in his motorboat and travels at an average speed of 9 mph toward the Isle of Shoals, a small island o

ff the coast of Massachusetts. Two hours later a tour boat leaves the same dock and travels at an average speed of 18 mph toward the same island. How many hours after the tour boat leaves will Michael's boat be alongside the tour boat
Mathematics
1 answer:
horsena [70]2 years ago
8 0

Since the motor boat left the dock 2 hours before the tour boat, their meeting point will be 27 miles from the dock from which both boats departed after 3 hours.

<h3>What is the distance?</h3>

Distance is the movement of an object regardless of direction. The distance can be defined as the amount of length an object has covered, regardless of its starting or ending position

We know that r × t = d

r = rate of speed

t = time

d = distance

For the motor boat

9 × t = d = rate × time

For the tour boat

27 × (t - 2) = d = rate × time

When they both cover the same distance in the same amount of time, they will eventually cross paths.

They both cover the same d-mile distance, so:

9 ×t = 27 × (t - 2)

Simplify to get:

9 × t = 27 × t - 54

18 t = 54

t = 3

The motor boat will have traveled at 9 mph for 3 hours to make a distance of 9 × 3 = 27 miles.

The tour boat will have traveled at 27 mph for 1 hour to make a distance of 1 × 27 = 27 miles.

Since the motor boat left the dock 2 hours before the tour boat, their meeting point will be 27 miles from the dock from which both boats departed after 3 hours.

To know more about distance visit: brainly.com/question/18850325

#SPJ4

You might be interested in
I need help on this???
Aliun [14]
Use the geometric mean for right triangles here.  Like this \frac{9}{y}= \frac{y}{7}.  Cross multiply to get y^{2}=63, and y= \sqrt{63}.  That simplifies down to y= \sqrt{9*7}.  Pull out the 9 as a perfect square of 3 and you're left with y=3 \sqrt{7}, first choice above.
4 0
3 years ago
Read 2 more answers
Jessica opened a bank account that earns 2 percent interest compounded annually. Her initial deposit was $100, and she uses the
klasskru [66]

Answer:

x = 1.02.

Step-by-step explanation:

The x is a factor worked out from  the annual interest  written as a decimal fraction.

So we have  2% = 2/100 = 0.02.

The amount at the end of the first year is $100 + 0.02*100

= $100* 1.02,  and in  the second year it will be $100* 1.02^t  where t = 2 and so on.

So we see that x in the given expression is 1.02.

5 0
3 years ago
Help me out please thx​
Margarita [4]

Answer:

b

Step-by-step explanation:

b

3 0
2 years ago
Read 2 more answers
600000 80000 10 expanded. form
kirza4 [7]
600000+80000+10=680,010 six hundred eighty thousand ten
7 0
3 years ago
John into friends are going out for pizza for lunch they split one pizza in three large pizza cost $12 he spent a total of 16.95
grin007 [14]

The large drink is 4$

7 0
3 years ago
Read 2 more answers
Other questions:
  • Vertex Z of trapezoid WXYZ has coordinates (−9, 9).
    6·1 answer
  • 00:00
    7·1 answer
  • Which unit would you use to measure the amount of water in a swimming pool?
    6·1 answer
  • What is 5% added to $194?
    15·1 answer
  • Find the area of a circle that has a radius of 9 mm. Use 3.14 for .
    11·1 answer
  • Donato is 6 feet 2 inches tall. His sister is 68 inches tall. Donato is how many inches taller.
    7·2 answers
  • Madison and daryl deliver flyers . madisons weekly earning are three times daryls weekly earnings. Together , they earn $41.00 .
    11·1 answer
  • !!!25 POINT REWARD FOR ACCURATE COMPLETION!!!
    8·1 answer
  • 6&amp;7 please...............
    6·1 answer
  • Matt decides the length of his table will be 15 in. He calculates that the area of the table is 30 in. squared. Determine if Mat
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!