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 6 of 21.
Ramya Chockalingam said:
7 years ago
The very simple method is everyone knows that;
Distance=speed*time.
Here the given is speed and distance.
And also time that it is increased by 30min.
Therefore t=x+30 because it gets increased to 30min.
Convert 30 min to hour because the given options are an hour.
Therefore.
X+1/2=600/200.
Therefore, X=1hour.
Distance=speed*time.
Here the given is speed and distance.
And also time that it is increased by 30min.
Therefore t=x+30 because it gets increased to 30min.
Convert 30 min to hour because the given options are an hour.
Therefore.
X+1/2=600/200.
Therefore, X=1hour.
Gobinath P said:
7 years ago
Any other ways to solve this question? Please tell me the shortcut way.
Aju said:
7 years ago
To find the speed;
600/X-200 - 600/X = 0.5.
600/X-200 - 600/X = 0.5.
ARUNKUMAR S said:
7 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)
Arun said:
7 years ago
If the average speed is increased by 200km/hr and time of flight is decreased by 30mins. What is the equation?
(600/x)-(600/x+1/2))=-200 is this correct?
(600/x)-(600/x+1/2))=-200 is this correct?
Nikhil said:
7 years ago
Thanks @Kiran.
Prachi said:
7 years ago
Thank you @Saravanakgopi.
Manju said:
7 years ago
Thank you @Kiran.
S. M said:
7 years ago
@All.
The Original duration or the duration it has taken? Confused by the answer.
I think original duration is 1 hour but it has taken 30 mins more due to bad weather. Am I right?
Please anyone explain me.
The Original duration or the duration it has taken? Confused by the answer.
I think original duration is 1 hour but it has taken 30 mins more due to bad weather. Am I right?
Please anyone explain me.
Sahil walia said:
8 years ago
Because converting 30 min into an hour because everything is given in hour so 30 min/60 to convert into hour so here it comes 1/2.
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