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 5 of 6.

Arun said:   1 decade ago
Easy way is here.

We know that ratio of two train is = 7:8.

Speed of 1st train = ?

Speed of 2nd train = 400\4 = 100 kmphr.

So, 1st train:2nd train = 7:8.

? : 100.

So divide 100 by 8 we will get = 12.5.

Now multiply 1st train ratio with 12.5.

i.e 12.5*7 = 87.5.

So the speed of first train = 87.5 kmphr.

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?

Raghu said:   10 years ago
400/4 = 100 km/hr.

8/7 = 100/x.

x = 87.5.

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?

Sri said:   9 years ago
Here is the simple method :
400/8 = 50.
400 - 50 = 350.
350/4 = 87.5.

Sai said:   9 years ago
Thank you all for explaining the solution in different ways.

Anika said:   9 years ago
@Nasir.

I also did not understand how to solve the problem.

Can anyone find the solution for Nasir's question.

Anika said:   9 years ago
The odometer of a car reads 57321.0 km when the clock shows time 8.30am. What is the distance moved by a car at 8.50 am, the odometer reading has changed to 57336.0km. Calculate the speed of the car and express the speed in km/hr.

Solve and find the solution.

Dev said:   8 years ago
@Anika.

The speed is 1927. Is it right?

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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