Jose lives on the side of a mountain and the elevation of his residence is 1145 feet above sea level. His brother lives in a deep valley the is 20 feet below seal level. What is the difference in altitudes of the locations occupied by the two brothers?
A plane flies 400 miles with the wind and 300 miles against the wind in the same length of time. If the speed of the wind is 25 mph, what is the speed of the plane in still air?
500 becuase it takes away a hundred mph with the aerodynamicness
let the speed of the plane be x mph
so going with the wind, speed is x+25
time to go 400 miles = 400/(x+25)
against the wind, speed is x-25
time to go 300 miles = 300/(x-25)
but the two times are equal, so
400/(x+25) = 300/(x-25)
cross-multiply
400x - 10000 = 300x + 7500
100x = 17500
x = 175
The plane's speed in still air is 175 mph
first question:
What is 1145 - (-20) ??
To find the difference in altitudes between Jose's residence and his brother's location, we need to subtract the elevation of his brother's location from Jose's elevation.
Jose's elevation: 1145 feet above sea level
His brother's elevation: 20 feet below sea level
To find the difference, we need to add Jose's elevation and his brother's elevation together because they have opposite signs (+ and -):
1145 + (-20) = 1125
Therefore, the difference in altitudes between the two brothers' locations is 1125 feet.