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 2 of 6.

Shahbaz Ahmad said:   5 years ago
7/8 = x/400/4,
7/8 = x/100,
x = 7 x 25/2 = 175/2 = 87.5km/hr.
(4)

Prabhat Kumar said:   6 years ago
Ratio of 1st & 2nd train = 7:8
Let speed of the first train x.

2nd train speed = 400/4 = 100km/hr.
And for 1st train.

7:8::x:100.
8x = 700.
X = 700/8 = 87.5 km/hr.

So 1st train speed 87.5 km/hr.
(7)

Nayan vekariya said:   6 years ago
Fast solve to other method :

Two train ratio 7:8

First train speed = 400 km /4 hour
= 100 km/h

Ratio 8 ---------------> 100 km
Ratio of 7 ------------> ?

7 *100 / 8 = 87.5 km/p.

That answer is 87.5.
(8)

Sam said:   6 years ago
We can calculate this by a simple method.

Here the distance = 400 km.

And the time taken to cover this distance by the second train is 4 h.

Therefore the speed of the second train will be 400/4 = 100 kmph.

The ratio of the speed of both the trains is 7:8.

Therefore the speed of 1st train will be 100*7/8.

= 700/8.

= 87.5.

So the speed of the 1st train is 87.5 kmph.

Utkarsh kohapare said:   6 years ago
Simply;

Speed=distance/time.
s=400/4 i.e = 100kmph speed of second train.

The ratio is 7:8
Therefore 8 ------> 100
7 ------> x.

Solving it we get 8x=700.
x = 700/8 = 87.5.

Ganga said:   6 years ago
@Anika.

The speed is 45 kmph.

Neha said:   6 years ago
Hey guys can anyone help me to solve this problem?

Nilesh goes to school from the village at the speed of 4km/hr and returns at the speed of 2km/hr. Find the distance from his village to the school.
(1)

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)

Soumya said:   7 years ago
s1: s2= 7: 8.

The speed of the second train = distance/time = 400/4 =100.
This 100 corresponds to 8.
7: 8 * 12.5 = 100

Since 7:8 is a ratio, it will get multiplied to the same number only, therefore 7 * 12.5 = 87.5.

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)


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