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:
205 comments Page 20 of 21.
Aju said:
7 years ago
To find the speed;
600/X-200 - 600/X = 0.5.
600/X-200 - 600/X = 0.5.
Gobinath P said:
7 years ago
Any other ways to solve this question? Please tell me the shortcut way.
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.
Yuva said:
7 years ago
Thanks @Saravana Gopi.
Ashutosh said:
7 years ago
How to find LCM of x and 2x+1?
Mamatha said:
7 years ago
After solving the equation x has two values 1 and 3/2. Why only 1 has taken as answer?
Rahul sethupathi said:
7 years ago
Distance = speed/time.
=200/(30/60) by 30 min is converted into hour.
= 400 km.
Time= distance/speed.
= 400/400 km/kmhr.
= 1 hr.
=200/(30/60) by 30 min is converted into hour.
= 400 km.
Time= distance/speed.
= 400/400 km/kmhr.
= 1 hr.
Kishor said:
7 years ago
Thank you @Bhavana and @Shanti.
Meron said:
7 years ago
I am not getting this, please explain.
Anand Kumar said:
7 years ago
600/(x-200) - 30/60 =600/x ---> Eq.(1)
=> from equation (1) we get , x = 600.
Now, we have to find the duration of the flight = 600/x = 600/600 = 1hour. Answer.
=> from equation (1) we get , x = 600.
Now, we have to find the duration of the flight = 600/x = 600/600 = 1hour. Answer.
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