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Aptitude - Time and Distance - Discussion

@ : Home > Aptitude > Time and Distance > General Questions - Discussion

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"Time and tide wait for none."
- Alexander Pope
2. 

An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 hours, it must travel at a speed of:

[A]. 300 kmph[B]. 360 kmph
[C]. 600 kmph[D]. 720 kmph

Answer: Option E

Explanation:

Distance = (240 x 5) = 1200 km.

Speed = Distance/Time

Speed = 1200/(5/3) km/hr.     [We can write 1 hours as 5/3 hours]

Required speed = 1200 x 3 km/hr = 720 km/hr.
5


Vino said: (Sun, Jul 11, 2010 02:01:20 AM)    
 
How to give 3/5 ?

Mohit said: (Sun, Jul 18, 2010 09:31:15 AM)    
 
It is (3*1)+2=5

So it 5/3 hours and now speed = distance/time that's why 3/5.

Srinivasan.S said: (Mon, Aug 23, 2010 09:46:05 AM)    
 
The distance wants cover with 1+(2/3)hour is 1200km.

1 + (2/3) = (3+2)/3 = 5/3.

speed=Distance/time
speed=1200km/(5/3)
speed=1200km*(3/5)
speed=720km/hr

Shwetha Shree said: (Mon, Sep 6, 2010 01:08:32 PM)    
 
D= S*T that's why 240 * 5.

Sree said: (Thu, Sep 23, 2010 10:56:59 AM)    
 
Hello! Shwetha, You want to take it as comparison of two plan.

First Plan : 240km * 5hr = 1200km/hr
Second Plan: ? *1+(2/3)= 1200km/hr

Pandu said: (Wed, Dec 22, 2010 09:20:08 AM)    
 
How to give 3/5?

Ankit said: (Thu, Dec 23, 2010 03:28:26 PM)    
 
Correct mohit. !

Ramya said: (Mon, Jan 24, 2011 02:35:02 AM)    
 
Distance=240*5=1200
1+2/3=5/3
REQUIRED SPEED=(1200/5/3)
=(1200*3/5)
=720KM/HR

M.Balaji said: (Sat, Jan 29, 2011 06:48:53 AM)    
 
d1=d2
240*5=x*(5/3)
3600=x*5
x=720(km/hr) If both are available in kmphr other we convert them as same.

It is very useful to students. I like this site.

V P Samy said: (Sun, Jan 30, 2011 07:29:26 AM)    
 
I have doubt in 5/3.
5*240=1200km
1*(sp)=1200km

.'.Speed=1200km/hr this is correct or not ?

Neelam said: (Thu, Feb 3, 2011 02:28:18 AM)    
 
Actually this is not speed, it must be the distance. As it is derived from the formula s*t=d. Hope it clears the confusion.

Darshan said: (Thu, Feb 10, 2011 06:18:00 AM)    
 
Aeroplane travels total of 1200km to cover same distance in 1 hour it should travel wit 1200 kmph right but how come 720 kmph ?

Selva said: (Fri, Feb 25, 2011 06:33:39 AM)    
 
Nice example.

Rahul said: (Tue, Mar 1, 2011 01:40:05 PM)    
 
Please explain in detail the calculation of coverting to 5/3

Sheela M B said: (Mon, Mar 28, 2011 03:42:33 PM)    
 
observe the formula carefully.
Distance = (240 x 5) = 1200 km.

Speed = Distance/Time
it says speed equals distance travelled by time taken and hence,
Speed = 1200/(5/3) km/hr.
since time is 5/3, the denominator(here it is 3) of denominator(the whole 5/3)becomes numerator. Therefore the following.
Required speed = 1200 x 3 km/hr = 720 km/hr.

Ramkumar said: (Thu, May 19, 2011 01:35:42 AM)    
 
Sir/madam please explain in detail. I cant understand.

Avinash said: (Sun, May 22, 2011 08:57:44 AM)    
 
Ramkumar,nothng hard in tat.first knw formula
distance=speed*time
speed=distance/time
time=speed/distance

now read the question.they given aeroplance covers distance of 240 km/hr in 5 hours so we need the total distance of 5 hours...
distance=speed*time
so distance=240*5=1200km
now we have to speed cover in 1+2/3 hours=5/3 hours
speed=distance/time
speed=(1200/5/3)kmph=(1200*3/5)kmph=720 kmph

Sreenath said: (Sat, Jul 9, 2011 12:04:30 PM)    
 
Hi, we know that speed=distance/time

Here distance is constant for different times
so speed o< 1/time
i.e
s1/s2=t2/t1

=> s2=s1*(t1/t2)

=> s2=240*[5/(5/3)]

=> s2=240*3

=> s2=720
here s2 is the speed when time is 5/3
remember when distance is constant speed o< 1/time
if speed constant time o< distance
if time is constant speed o< distance

Thanks.

Lakhan said: (Tue, Aug 2, 2011 03:26:35 PM)    
 
I have not understood the step where you have taken 1200*3/5 instead of 1200*5/3 ?

Nikita said: (Mon, Aug 8, 2011 12:47:31 PM)    
 
Another way

This is an example of inverse variation

So,
240*5=5/3*x
x=720

Honey said: (Fri, Aug 19, 2011 08:06:37 PM)    
 
Time decrease by 3times. 5/3=1*2/3.

Therefore speed increases by 3 times=3x240=720km/hr.

Dilip said: (Thu, Oct 20, 2011 06:25:56 PM)    
 
Those who says Answer as 720 please read the question. Its given that speed for a time of 1Hr should be foun out, not for 1+ (2/3) hrs.

Joseph said: (Sat, Dec 17, 2011 10:25:47 AM)    
 
Even if the aeroplane travels in the speed of 720km/hr it can the distance of 1152km..... As the nearest answer is 720km/hr.

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