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A plane left 30 minutes late than its scheduled time and in order to reach the destination 1500 km away in time,it had to increase its speed by 100 km/hrs from the usual speed. Find its usual speed.?
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A plane left 30 minutes late than its scheduled time and in order to r...
Given:
Late = 30 min
Distance = 1500 km
Speed increase = 100 km / hr
To find:
The usual speed.
Solution:
By formula,
Speed = Distance / Time
Since the time is unknown,
Consider x for time,
Speed original = 1500 / x
Time taken = ( x - 1 / 2 )
Therefore,
Substituting the value of x,
Speed new = 1500 / (x - 1/2)
Speed New - Speed original = 100
( 1500 / ( x - 1 / 2 ) ) - ( 1500 / x ) = 100
150 ( ( 10 / x - 1 / 2 ) - 10 / x = 100
30 x -30 x +15 = 2x^2 - x
15 = 2x^2 - x
2x^2 - x -15 = 0
Solving,
x = -5/2
x = 3
As time cannot be negative,
The usual time taken by the plane is 3 hr
Speed original = ( 1500 / 3 ) = 500 km / hr
Hence, the usual speed of the plane is 500 km / hr
I hope it's helpful for us...
Late = 30 min
Distance = 1500 km
Speed increase = 100 km / hr
To find:
The usual speed.
Solution:
By formula,
Speed = Distance / Time
Since the time is unknown,
Consider x for time,
Speed original = 1500 / x
Time taken = ( x - 1 / 2 )
Therefore,
Substituting the value of x,
Speed new = 1500 / (x - 1/2)
Speed New - Speed original = 100
( 1500 / ( x - 1 / 2 ) ) - ( 1500 / x ) = 100
150 ( ( 10 / x - 1 / 2 ) - 10 / x = 100
30 x -30 x +15 = 2x^2 - x
15 = 2x^2 - x
2x^2 - x -15 = 0
Solving,
x = -5/2
x = 3
As time cannot be negative,
The usual time taken by the plane is 3 hr
Speed original = ( 1500 / 3 ) = 500 km / hr
Hence, the usual speed of the plane is 500 km / hr
I hope it's helpful for us...
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A plane left 30 minutes late than its scheduled time and in order to reach the destination 1500 km away in time,it had to increase its speed by 100 km/hrs from the usual speed. Find its usual speed.?
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A plane left 30 minutes late than its scheduled time and in order to reach the destination 1500 km away in time,it had to increase its speed by 100 km/hrs from the usual speed. Find its usual speed.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A plane left 30 minutes late than its scheduled time and in order to reach the destination 1500 km away in time,it had to increase its speed by 100 km/hrs from the usual speed. Find its usual speed.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A plane left 30 minutes late than its scheduled time and in order to reach the destination 1500 km away in time,it had to increase its speed by 100 km/hrs from the usual speed. Find its usual speed.?.
A plane left 30 minutes late than its scheduled time and in order to reach the destination 1500 km away in time,it had to increase its speed by 100 km/hrs from the usual speed. Find its usual speed.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A plane left 30 minutes late than its scheduled time and in order to reach the destination 1500 km away in time,it had to increase its speed by 100 km/hrs from the usual speed. Find its usual speed.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A plane left 30 minutes late than its scheduled time and in order to reach the destination 1500 km away in time,it had to increase its speed by 100 km/hrs from the usual speed. Find its usual speed.?.
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