Aptitude - Time and Distance - Discussion

Discussion Forum : Time and Distance - General Questions (Q.No. 8)
8.
The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:
70 km/hr
75 km/hr
84 km/hr
87.5 km/hr
Answer: Option
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.

Discussion:
51 comments Page 4 of 6.

Vellamuthu said:   1 decade ago
Ratio 7:8
Speed =400/4 km/hr
speed =x

x=400/4 km/hr

4x=400 km

Second train Ratio 8*50=400=4x

Ratio 7*50=4x
350=4x
x=350/4
x=350/4
x=87.5 km/hr

Mihir jack said:   1 decade ago
Let this try :

Assume 7:8 = 7/8 = 0.875
Now 0.875 % less speed than 2nd train ,
Now simple 0.875 *100 = 87.5 answer

Amala said:   1 decade ago
7:8

100kmph - 8
? - 7 ( so cross multiplication)

(7*100)/8=87.5

Rahul said:   1 decade ago
Train 2 speed is 100km/hr
100/8=12.5
12.5*7=87.5 train 1 speed =answer

Avnish poddar said:   1 decade ago
Let speed of first train is "x"

And speed of second train is ""y"

Therefore given ratio are (x/y) = (7/8).

x = (7/8)*y = 87.5 kmph : Answer.

Where y =(400/4) = 100.

Manish Singh said:   1 decade ago
7/8 = X/(400/4).

Now find the X,
It will come 87.5 KM/hr.
Here X is the speed of first train.

Naga said:   1 decade ago
How to solve the problems in less time please explain simple techniques or any tricks?

Ophi said:   1 decade ago
Step 1 :

Find the speed of the Second train.
Runs at 400kms in 4 hours, S=D/T.
400/4 = 100kms/hr.

Step 2 :

Find the speed of first train.
Let speed of first train be "x".
By comparing the Ratio.

7:8 = x:100.
Then 8x = 7*100.

x = 700/8.
= 87.5km/hr.

Awesomeness said:   1 decade ago
This problem was really easy!:).

Suhail ahmed g said:   8 years ago
We can do it directly,

400/4=100,
(7/8)*100=87.5.


Post your comments here:

Your comments will be displayed after verification.