Answer:
Speed of Jet in Still Air = 265 miles per hour
Speed of Wind = 22 miles per hour
Step-by-step explanation:
Let x be speed of jet
and c be speed of wind
We know D = RT, where
D is distance
R is rate
T is time
For first leg:
1435 miles in 5 hours, the rate is:
Rate = 287 mph
For second leg:
1215 miles in 5 hours, the rate is:
Rate = 243 mph
So 287 is with wind and 243 against wind, thus we can write:
x + c = 287
x - c = 243
Adding gives us:
2x = 530
x = 265 miles per hour [still rate]
Speed of wind:
x + c = 287
265 + c = 287
c = 22 miles per hour [speed of wind]
Answer: The answer is C
Step-by-step explanation:
Answer: 4 brothers and 3 sisters for a total of 7 siblings
Step-by-step explanation:
Let No. of boys = x
Let No. of girls = y
<u>Each boy has as many brothers as sisters</u>
Hence, (x - 1) = y
Rearranging we get,
x - y = 1 ……….(1)
<u>Now, each girl has twice as many brothers as that of sisters</u>
Hence, 2 * (y - 1) = x
Solving the bracket we get, 2y - 2 = x
Rearranging we get,
-x + 2y = 2 ……….(2)
Adding (1) and (2) using the elimination method, we get
x - y = 1
-x + 2y = 2
<u>y = 3</u>
Substituting value of Y in equation (1),
x - 3 = 1
Solving this we get,
x = 4
Thus, No. of Boys = 4, No. of Girls = 3 and No. of Siblings in the family = 7
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