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:
209 comments Page 5 of 21.
ARUNKUMAR S said:
8 years ago
To solve this problem within a second means. First find the equation.
Speed is reduced by 200kmph.
So,
Speed1 - speed2. = 200kmph.
D/t1 - D/(t2+ 1/2) = 200kmph.
600/x - 600(x+1/2) = 200kmph.
Substitute all the options given in the question one by one.
You will LHS =RHS.
Speed is reduced by 200kmph.
So,
Speed1 - speed2. = 200kmph.
D/t1 - D/(t2+ 1/2) = 200kmph.
600/x - 600(x+1/2) = 200kmph.
Substitute all the options given in the question one by one.
You will LHS =RHS.
(1)
Esha said:
7 years ago
How do we get x(2x + 1) = 3? please explain.
(1)
Bhadru said:
7 years ago
Thank you @Muzzu.
(1)
Raman said:
6 years ago
Good. Thanks @Vijaya Laxmi.
(1)
Sabur khan said:
6 years ago
It must be 1.5 hours.
(1)
Parimalanathan said:
6 years ago
I can't understand this.
(1)
Neeru sharma said:
6 years ago
How come 1/2?
(1)
Patel said:
6 years ago
Here we get x=1, but the question is to find time duration of a plane in bad weather, which is x+0.5 hrs. So the answer must be 1.5hrs. Right?
(1)
Priyanka said:
6 years ago
Can anyone explain in a simple way? please.
(1)
Nitu said:
4 years ago
Thank you everyone for explaining.
(1)
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