Aptitude - Time and Distance - Discussion
Discussion Forum : Time and Distance - General Questions (Q.No. 6)
6.
In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:
Answer: Option
Explanation:
Let the duration of the flight be x hours.
| Then, | 600 | - | 600 | = 200 |
| x | x + (1/2) |
 |
600 | - | 1200 | = 200 |
| x | 2x + 1 |
x(2x + 1) = 3
2x2 + x - 3 = 0
(2x + 3)(x - 1) = 0
x = 1 hr. [neglecting the -ve value of x]
Discussion:
206 comments Page 8 of 21.
Ramesh said:
1 decade ago
Why the difference in speed matched with 200km/hr?
Khushbu said:
1 decade ago
@Avy.
In equation (2x-3)(x+1) =0.
Then x=3/2 and x = -1.
So how x=1?
In equation (2x-3)(x+1) =0.
Then x=3/2 and x = -1.
So how x=1?
Ranjith said:
1 decade ago
You have done a mistake in this.
400x2+200x-600=0.
4x2 + 2x - 6= 0.
2x2 + x - 3 = 0.
2x2 - 2x + 3x - 3 = 0.
2x (x - 1) + 3 (x- 1) = 0.
(2x + 3) (x - 1) = 0.
x=3/2 or x=1.
It is (x-1)=0 and not (x+1)=0....
So that while equaling this we get as,
x=1...
Hoping you understand now.
400x2+200x-600=0.
4x2 + 2x - 6= 0.
2x2 + x - 3 = 0.
2x2 - 2x + 3x - 3 = 0.
2x (x - 1) + 3 (x- 1) = 0.
(2x + 3) (x - 1) = 0.
x=3/2 or x=1.
It is (x-1)=0 and not (x+1)=0....
So that while equaling this we get as,
x=1...
Hoping you understand now.
Tony said:
1 decade ago
Hello friends !
Let be simple ...200 reduce speed and we got 30 mnt more time.
Means 400 km speed need how much time ?
200 ---- 30 mnt need.
400 ---- ?
(400 * 30)/200 = 60 mnt.
Let be simple ...200 reduce speed and we got 30 mnt more time.
Means 400 km speed need how much time ?
200 ---- 30 mnt need.
400 ---- ?
(400 * 30)/200 = 60 mnt.
Deepak Jain said:
1 decade ago
It is not mentioned in the problem that at what speed duration of flight to be find out because you are giving the answer for the speed before the bad weather.
According to me speed after bad weather should be taken and answer will be 1.5 hours.
According to me speed after bad weather should be taken and answer will be 1.5 hours.
Udiet said:
1 decade ago
How come 600/x-1200/2x+1=200?
Rupali said:
1 decade ago
How will solve x-(x+1/2)?
@ngel said:
1 decade ago
= x-(x+1/2) it simplify as,
= x-2x+1 = 0.
= -x+1 = 0.
x = 1.
= x-2x+1 = 0.
= -x+1 = 0.
x = 1.
Shakila said:
1 decade ago
I agree to @Deepak Jain's word and yes bad weather has it be considered and as tony mentioned 400 is the speed.
Its just simple as much as 1.5 hours.
Its just simple as much as 1.5 hours.
Ramesh said:
1 decade ago
Can any one explain how 200 will come?
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