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 3 of 6.

Bhanu said:   8 years ago
Given speed in ratio : 7:8.
First speed = 7x.
Second speed = 8x.

7x/8x = x(?)/400/4.

7x/8x = x/100.

7x*100 = 8x*x.
700x = 8x*x.

Cancel x in both sides,
700 = 8x.
x = 700/8.
x = 87.5 km/hr.

Nasir said:   9 years ago
If a person drives from point A to B with the speed of 40 km/hr and returns on the same path with the speed of 80 km/hr. Find the average speed of a person?

Can anyone solve this problem?

Prajweetha said:   1 decade ago
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.

Ravi said:   7 years ago
Let the speed of two trains be 7x and 8x km/hr.

Then, 8x =400/4= 100.
8x = 100.
x = 100/8.
x = 12.5.

So,
Speed of first train = (7 x 12.5) km/hr = 87.5 km/hr =>Ans.
(1)

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

Pratibha said:   1 decade ago
The answer and the method to solve is right but is their ratio is right? NO.

Because 87.5/100 is not equal to 7:8.

87.8/100 = 0.87.

Why? Can anyone answer my question?

Asit said:   1 decade ago
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

Divya said:   7 years ago
Given 7:8.

We need the speed of the first train so make it 1 for simple calculations.
1:8/7,
400km in 4hr then 100km in 1hr.
so 100km/hr,
100 = 8x/7 = 87.5.
(1)

Sivaprakash said:   3 years ago
Just consider 7:8.

X is speed of first flight.
Speed of the second S=D/S=400/4=100kmph;
8=100 and 7=?.
8/100=7/x=? Cross multiplicate.
100*7/8=87.5.
(8)

Sree said:   8 years ago
Ratio of train speed = 7:8.
Second train = 400 in 4 hours,
Speed = 100km/h,
8x = 100,
x = 100÷8 = 25/2,
Then, 7x = 25/2 * 7,
=175/2 = 87.5.


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