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Aptitude - Time and Distance - Discussion

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"Two things are infinite: the universe and human stupidity; and I'm not sure about the universe."
- Albert Einstein
8. 

The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is:

[A]. 70 km/hr[B]. 75 km/hr
[C]. 84 km/hr[D]. 87.5 km/hr

Answer: Option E

Explanation:

Let the speed of two trains be 7x and 8x km/hr.

Then, 8x = 400 = 100
4

x = 100 = 12.5
8

Speed of first train = (7 x 12.5) km/hr = 87.5 km/hr.


Asit said: (Tue, Feb 1, 2011 07:19:07 AM)    
 
Let the speed of 1st train is x km/hr
2nd train speed =distance/time

So 400/4=100km/hr
now given that their ratio= 7:8(i.e 1st/2nd)
so x/100 = 7/8
=>x=87.5km/hr

Prajweetha said: (Tue, May 3, 2011 05:43:57 AM)    
 
Second train runs at 400kms in 4 hours, so in 1 hour its speed is 400/4=100kms/hr.

Let speed of first train be "x".

Ratio is 7:8=x:100.

Then 8x=7*100.

X=700/8.

=87. 5km/hr.

Sandeep said: (Sat, Aug 27, 2011 08:46:02 PM)    
 
Its a ration sum..
then..
Second train runs at 400kms in 4 hours, so in 1 hour its speed is 400/4=100kms/hr.

Now according to ratio concept:-

7:8
means..
total is 15..
then 8/15*x=100
we get,187.5 total speed of both the tain.
now
for first train speed..
7/15*187.5= 87.5 km/hr

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