Maths-
General
Easy
Question
George took a nonstop flight from Dallas to Los Angeles, a total flight distance of 1,233 miles. The plane flew at a speed of 460 miles per hour for the first 75 minutes of the flight and at a speed of 439 miles per hour for the remainder of the flight. To the nearest minute, for how many minutes did the plane fly at a speed of 439 miles per hour?
Hint:
Hint:
The first thing to know is
.The flight’s travel can be divided into two parts: the first one where the speed is 460 miles per hour and the second where the speed is 439 miles per hour. First we
find the distance covered by the flight in first 75 minutes, then we find the remaining distance to be covered and finally the tie required to cover that distance.
The correct answer is: 90
The total distance between Los Angeles and Dallas is 1233 miles.
So, total distance covered = 1233 miles.
Initially,
Speed of the plane = 460 miles per hour
Time taken = 75 minutes
We convert the time in hours as the speed is given in miles per hour.
As, 60 minutes = 1 hour
So, we get, 75 minutes =
=
= 1.25 hours
Thus, time taken = 1.5 hours
We know,
![text Speed end text equals fraction numerator text Distance end text over denominator text Time end text end fraction](data:image/png;base64,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)
Rewriting the equation , we have
![text Distance end text equals text Speed × time end text](data:image/png;base64,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)
Thus, the distance travelled initially is given by
![text Distance end text equals 460 cross times 1.25 equals 575](data:image/png;base64,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)
Thus, the distance covered by the flight in the first 75 minutes while the speed was 460 miles per hour = 575 miles
Next,
Remaining distance to travel = 1233 – 575 = 658 miles
For the second part of the journey,
Speed of the plane = 439 miles per hour
Distance travelled = 658 miles
Rewriting the above formula, we get
![text Time end text equals fraction numerator text Distance end text over denominator text Speed end text end fraction](data:image/png;base64,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)
Using the above quantities, we get
![text Time end text equals 658 over 439 almost equal to 1.5 text hours end text](data:image/png;base64,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)
Converting the time into minutes, we have,
![1.5 text hours end text equals 1.5 cross times 60 text minutes end text equals 90 text minutes end text](data:image/png;base64,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)
Thus, the number of minutes for which the plane flies at speed 439 miles per hour = 90 minutes
.
Note:
The relation between speed, distance and time given by the relation above is very important. There could be many such questions formed which ask us to calculate any of the three quantities with certain conditions involved.
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