out of 1900km vishal travelled some distance by bus and some by aeroplan bus travels average speed 60km/hr and the average speed of aeroplan is700km/hr it takes 5 hours to complete the journey find the distance vishal travelled by bus ?
Answers
Answered by
14
Let time travelled on bus be 'x'hr and aeroplane be 'y' hr.
Now total time = 5hr
x + y = 5
y = 5-x
Also, total distance = 1900km
1900 = 60x + 700y
1900 = 60x +700(5-x)
1900 = 60x + 3500 - 700x
640x = 1600
x = 1600/640 = 5/2 hr
So distance travelled by bus = 60x
= 60*5/2 = 150km
Now total time = 5hr
x + y = 5
y = 5-x
Also, total distance = 1900km
1900 = 60x + 700y
1900 = 60x +700(5-x)
1900 = 60x + 3500 - 700x
640x = 1600
x = 1600/640 = 5/2 hr
So distance travelled by bus = 60x
= 60*5/2 = 150km
Answered by
1
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
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