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suter [353]
3 years ago
6

A jet travels from chicago to kansas city at a speed of 440 knots. If it takes a plane 3 hr longer to fly from kansas city to ch

icago at a speed of 110 knots, what is the distance between the two cities?
Mathematics
1 answer:
steposvetlana [31]3 years ago
7 0

d = distance between the two cities

v₁ = average speed while going from chicago to kansas city = 440 knots

t₁ = time taken to travel distance going from chicago to kansas city

time taken to travel distance going from chicago to kansas city is given as

t₁ = d/v₁

t₁ = d/440                                        eq-1


v₂ = average speed while going from kansas city to chicago = 110 knots

t₂ = time taken to travel distance going from kansas city to chicago

time taken to travel distance going from kansas city to chicago is given as

t₂ = d/v₂

t₂ = d/110                                                     eq-2


Given that :

t₂ = t₁ + 3

using eq-1  and eq-2

(d/110) = (d/440) + 3

d = 440

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3 years ago
The volume of construction work was increased by 60% but the productivity of labor increased by only 25%. By what percent must t
Sergeu [11.5K]

Answer: 28 %

Step-by-step explanation:

Let, Initially,

V be the volume of construction work

r be the productivity of labor  

n be the number of days

x be the number workers.

Thus,  V  = r × n × x   ------------(1)      

Now, According to the question,

The volume of construction work was increased by 60% but the productivity of labor increased by only 25%.

Therefore,

Final volume of the work = 160% of V = 1.6 V

Final productivity = 125% of r = 1.25 r

Also, the time is same in both conditions,

Final time taken = n

Let y be the number of people after changes.

Thus, 1.6 V = 1.25 r × n × y -----(2)

Dividing equation (1) by equation (2)

We get, y = 1.60 x/1.25

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= \frac{(\frac{1.60x}{1.25}-x) }{x}\times 100

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5 0
3 years ago
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BlackZzzverrR [31]

Answer:

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Step-by-step explanation:

Had Obi spent only ?12, they would have been even. Thus ?12 is the same as 5-2 = 3 "ratio units". So, each "ratio unit" is worth ?12/3 = ?4.

Then Obi started the day with 5·4 = 20, and Obi started the day with 2·4 = 8. Obi ended with 0, which is 8 less than Rudy.

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