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I am Lyosha [343]
2 years ago
11

Problem PageQuestion Flying against the jetstream, a jet travels 3050 miles in 5 hours. Flying with the jetstream, the same jet

travels 3800 miles in 4 hours. What is the rate of the jet in still air and what is the rate of the jetstream?
Mathematics
1 answer:
goblinko [34]2 years ago
3 0

Answer: the rate of the jet in still air is 685 mph and the rate of the jetstream is 75 mph

Step-by-step explanation:

Let x represent the rate of the jet in still air.

Let y represent the rate of the jet jetstream.

Distance = speed × time

Flying against the jetstream, a jet travels 3050 miles in 5 hours. This means that the total speed of the jet would be (x - y) mph. Therefore,

3050 = 5(x - y)

3050/5 = x - y

x - y = 610 - - - - - - - - - - - - - -1

Flying with the jetstream, the same jet travels 3800 miles in 4 hours. This means that the total speed of the jet would be (x + y) mph. Therefore,

3800 = 4(x + y)

3800/5 = x + y

x + y = 760 - - - - - - - - - - - - - -2

Adding equation 1 to equation 2, it becomes

2x = 1370

x = 1370/2 = 685mph

Substituting x = 685 into equation 1, it becomes

685 - y = 610

y = 685 - 610 = 75mph

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2 years ago
Can you help me with my homework please
umka21 [38]

#4(a)

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(b)

the equation works for row 1 but not for any of the rows after this

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(c)

S=2(1)+7, there is 9 seats in row 1

2(2)+7=11,  there is 11 seats in row 2

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3 years ago
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asambeis [7]
4 1/2
Try Cymath it’s great for this stuff
6 0
3 years ago
Read 2 more answers
a. If a rabbit can move 7/5 miles every hour, then how many hours would it take for a rabbit to go 7 miles?
sergeinik [125]
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3 years ago
A submarine cruises underwater at 20 km/h and on
Darina [25.2K]

Answer:

System of equations:

20x + 30y = 650

x + y = 25

Time underwater = 10 hours

Time at the surface = 15 hours

Step-by-step explanation:

Let x = time underwater at 20 km/h.

Let y = time on the surface at 30 km/h.

speed = distance/time

distance = speed * time

distance underwater: 20x

distance on the surface: 30y

total distance: 650

20x + 30y = 650

total time: x + y

total time: 25

x + y = 25

20x + 30y = 650

x + y = 25

20x + 30y = 650

-20x - 20y = -500

--------------------------------

          10y = 150

              y = 15

x + y = 25

x + 15 = 25

x = 10

4 0
3 years ago
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