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:
211 comments Page 22 of 22.
Sagarika M said:
1 month ago
Flight travells 600kmph.
The speed reduced by 200kmph means 600-200=400kmph, so it was travelling at 400kmph.
Now, time taken to travel 400kmph is t+30min = t + 0.5hr.
=>s=d/t,
=>400kmph = 600km/t + 0.5hr.
=>400km/1hr = 600km/t + 0.5hr.
=>400km(t+0.5hr)= 600km(1hr).
=>2t + 1hr = 3hr.
=>2t = 3hr - 1hr.
=>t=1hr
The speed reduced by 200kmph means 600-200=400kmph, so it was travelling at 400kmph.
Now, time taken to travel 400kmph is t+30min = t + 0.5hr.
=>s=d/t,
=>400kmph = 600km/t + 0.5hr.
=>400km/1hr = 600km/t + 0.5hr.
=>400km(t+0.5hr)= 600km(1hr).
=>2t + 1hr = 3hr.
=>2t = 3hr - 1hr.
=>t=1hr
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers