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andre [41]
2 years ago
14

A ship traveling east at 45 mph is 15 mi from a harbor when another ship leaves the harbor traveling east at 60 mph. How long do

es it take the second ship to catch up to the first ship?
Mathematics
1 answer:
Harman [31]2 years ago
7 0

Answer:

  1 hour

Step-by-step explanation:

I find these easiest to work by considering the initial difference in distance and the speed at with that gap is closing.

__

The gap is 15 miles, the distance the first ship is from harbor when the second ship starts.

The rate of closure is the difference in the speeds of the two ships:

  60 mph -45 mph = 15 mph

Then the closure time is ...

  time = distance/speed

  time = (15 mi)/(15 mi/h) = 1 h

It will take the second ship 1 hour to catch up to the first ship.

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Solve the inequality.
Sonbull [250]

Answer:

a

Step-by-step explanation:

8 (x/4 -6) >= 4

(x/4 - 6) >= 4/8

(x/4) >= 0.5 +6

x >= 6.5 x 4

x>= 26

3 0
3 years ago
diesel engines use about 1 gallon of fuel per hour for every 18 horsepower used. How many hours can the boat run at 342 horsepow
KatRina [158]
For this problem we are going to use a 400 gallons tank. You can apply the same procedures to a bigger or smaller tank.

The first thing we are going to do id divide the horsepower of the engine (342) by the rate of gallon consumption (<span>18) to find how many gallons our engine will consume in one hour: 
</span>\frac{342}{18} =19 gallons per hour.
<span>
Next, we are going to divide the half tank of fuel by our engine consumption per hour:
Since the full tank is 400 gallons, half tank will be 200 gallons.
</span>\frac{200}{19} =10.5 hours 
<span>
We can conclude that the boat will run for 10.5 hours </span><span>at 342 horsepower on a half tank of fuel.</span>
3 0
4 years ago
(a)At Cheng's Bike Rentals, it costs $38 to rent a bike for 8 hours. How many dollars does it cost per hour of bike use?
astra-53 [7]
Question a: Do 38 dollars / 8 hours to get 4.75 dollars for an hour of biking.
Question b: Do 6 dollars / 10 pounds to get 0.6 dollars for a pound of sugar.
8 0
3 years ago
Akiko ate 60 hot dogs in 10 hours. At that rate, how many hot dogs would she eat in 20 minutes?
Tom [10]

Answer:

Use https://www.bartleby.com/  it has helped me out a lot . Its actual tutors/teachers who answer your questions in about 30 minutes :)

Step-by-step explanation:

7 0
3 years ago
Scribe two different methods to find the elapsed time from 2:30 p.m. to 2:58 p.m.
Ronch [10]

Answer:

28 minutes

Step-by-step explanation:

First Method

You can do normal subtract

2.58 \\ 2.30 \\ 0.28

2:58 - 2:30 which is equivalent to 0.28 which means 28 minutes.

Second Method.

2:58

58minutes to hour = 58/60

2:30

30minutes to hour = 30/60

58/60 - 30/60

28/60 hour

0.4667 hour or 28 minutes.

7 0
3 years ago
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