At 10 A.M. a plane leaves Boston, Massachusetts, for Seattle, Washington, a distance of 3000 mi. One hour later a plane leaves Seattle for Boston. Both planes are traveling at a speed of 300 mph. How many hours after the plane leaves Seattle will the planes pass each other?
Answers
Answer:
The plane from Seattle will pass the plane from Boston after 4.5 hours of its departure from the Seattle.
Step-by-step explanation:
Plane-1 = Boston, Massachusetts - Seattle, Washington at 10:00 AM
Plane-2= Seattle, Washington - Boston, Massachusetts at 11:00 AM
Speed of plane-1 = 300 mile/hour
Distance covered by plane-1 in 1 hour = 300 mile/h × 1 h = 300 mile
Distance between plane-1 and plane 2 after 1 hour :
= 3000 mile - 300 mile = 2700 mile
Let the distance covered by plane-1 after 1 hour be x in t time where it will pass plane-2.
Let the distance covered by plane-2 be y in t time where it will pass plane-1.
x + y = 2700 ...[1]
Speed of plane-1 = 300 mile/hour
..[2]
Speed of plane-2 = 300 mile/hour
..[3]
Putting value of t from [2] in [3];
x = y
In [1] put x = y
y + y = 2700 miles
2y = 2700 miles
y = 1,350 mile
For the value of t, put the value of y in [3]:
The plane from Seattle will pass the plane from Boston after 4.5 hours of its departure from the Seattle.
Final answer:
The Boston plane travels for 1 hour before the Seattle plane sets off, covering 300 miles. The remaining distance between them is then 2700 miles. Both planes flying towards each other at a combined speed of 600 mph cover this distance in 4.5 hours.
Explanation:
The subject of this question is a relative speed math problem. The Boston plane travels for an hour before the Seattle plane leaves. So, the Boston plane covers a distance of 300 miles (1 hour * 300 mph). This means that at the time the Seattle plane leaves, the total remaining distance between them is 2700 miles (3000 miles - 300 miles).
Now we consider both planes flying towards each other. In this case, the relative speed is the sum of their speeds, thus 600 mph (300 mph + 300 mph). So, to cover the remaining 2700 miles, it will take 4.5 hours (2700 miles ÷ 600 mph).
Therefore, the airplanes will meet each other 4.5 hours after the Seattle plane leaves.
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Answers
Answer:
Either B or D
Sorry that its not one answer i just think its one of those 2 and dont wnat to just give u one answer cause i dont want u to get it wrong
Answers
volume = 4*3*2 = 24 m^2
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mass = density*volume
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we don't know the units because we do not know the density units
Answers
Answer:
There are 48 boys in the choir
Step-by-step explanation:
Answers
Final answer:
0.5 as a decimal can be converted to a fraction by considering the place value. In this case, that's 5 over 10 due to the decimal being in the tenths place. However, this fraction should be simplified to the lowest term, which brings it to 1/2.
Explanation:
The conversion of the decimal number to a fraction is achievable by understanding that decimal numbers are a portion of whole numbers. In this case, 0.5 is your given decimal number. To convert this decimal to a fraction, you consider the place value of the decimal number. In this scenario, 0.5 is a decimal in the tenths place. Therefore, you can make the number 5 (extracted from 0.5) as your numerator and 10 (which signifies 1 whole consisting of ten tenths) as your denominator. However, this gives you 5/10, and it's customary to simplify a fraction to its lowest term. By dividing both the numerator and denominator by their biggest common factor which is 5, you get 1/2 as the simplified fractional equivalent of the decimal 0.5.
So, 0.5 as a fraction is b) 1/2.
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Answer:
1/2
Step-by-step explanation:
0.5=5/10=1/2
Whenever the number is right after the decimal point, it is always divided by 10.
Answers
A ) x = - 15, y = 5
5 = 75 + 10
5 ≠ 85
B ) x = 2, y = 0
0 = - 5 · 2 + 10
0 = 0 ( correct )
C ) x = - 1, y = - 5,
- 5 = 5 + 10
- 5 ≠ 15
D ) x = 3, y = 25
25 = - 15 + 10
25 ≠ - 5
Answer:
B ) ( 2, 0 )
Answer:
B. (2,0)
Step-by-step explanation:
The given equation is;
If an ordered pair is a solution, then the ordered pair must satisfy the given equation.
For (-15,5),we have
,this is FALSE.
For (2,0), we have
, this is TRUE
For (-1,-5), we have;
, this is FALSE.
For (3,25), we have;
, this is FALSE