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 21 of 21.
Sundarraj said:
2 decades ago
Thanks Kiran. Your answer is very easy to grasp.
Kiran.p said:
2 decades ago
We know that speed=distance/time;
Let us assume time as x,then actual speed=600/x;
Now the time is incremented to 30 min right,
So, now the speed=600/(x+1/2)
Here we take the time in hrs so (x+1/2).
In the problem the speed is reduced by 200km/hr
So the diff btwn speed is equal to 200km/hr.
i.e. 600/x-600/x+(1/2)=200
Let us assume time as x,then actual speed=600/x;
Now the time is incremented to 30 min right,
So, now the speed=600/(x+1/2)
Here we take the time in hrs so (x+1/2).
In the problem the speed is reduced by 200km/hr
So the diff btwn speed is equal to 200km/hr.
i.e. 600/x-600/x+(1/2)=200
(3)
Lathesh said:
2 decades ago
Need more detailed explanation.
Nirmal.s said:
2 decades ago
Am also having de same doubt yaar.
Zary said:
2 decades ago
Hi frnds! I'm not getting why you are taking.
600 - 600 = 200.
X x + (1/2) ?
Please explain in detail!
600 - 600 = 200.
X x + (1/2) ?
Please explain in detail!
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