The average speed of one airplane is 200 mph faster than that of an automobile. If the automobile starts at 3 a.m. and the airplane starts from the same place at 11 a.m., they will have traveled the same number of miles by 1:00 p.m. Find the rate of the automobile.
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(x+200) * 2 = x*10
solve for x
Time between 11 am and 1 pm is 2 h.
During this time the plane has travelled the same distance as the car has travelled in 10 h.
If v is the velocity of the car
The plane travels 200 * 2 + v*2
The car travels v*10.
they travel the same distance
400 + 2v = 10v
400 = 10v - 2v
400 = 8v
v = 50 mph
and speed of plane is a very slow 250 mph.
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@sauravshakya is correct
A druggist has two mixtures of a certain chemical and water, one containing 10% of the chemical and the other containing 40% of the chemical. How much of each mixture should he use to make 10 ounces that contain 25% of the chemical?
If x is the amount of 10% mixture used, then which expression represents the ounces of chemical contained in it?
x ounces of 10% soln mixed with (10 – x) ounces of 40% soln. as total final volume is 10 ounces
amount of chemical in x ounces = 0.1x
amount of chemical in (10 – x) ounces = 0.4(10 – x) = 4 – 0.4x
amount of chemical in 10 ounces = 10 × 0.25 = 2.5
0.1x + 4 – 0.4x = 2.5
0.3x = 1.5
x = 5 ounces of 10% mixed with
(10 – 5) = 5 ounces of 40% to give 10 ounces of 25%
daughter takes x hr
in 1 hr 1/x work done