Question

The ratio bteween the speed of two trains is 3:4 if the second train runs 600 km in 6 hours then the speedof the first.Train is

Answer 1

Ratio of 2 trains (speed)=3:4

Distance of 2nd train =600km

Time=6hr

Note speed is in kmph

Speed =distance/time=600/6=100 kmph.

Speed of 1st train =?

Speed of 2nd train =100 kmph

Speed of 1st train =speed of 1st train/speed of 2nd train/3/4=x/100×4/3=1/75(reciprocal of this fraction)=75 kmph

Answer 2

Given:

Ratio of speeds=3:4

To find:

The speed of the first train

Solution:

The first train's required speed is 75 km/hr.

Let the first train's speed be X.

We are given that the speed ratio of the first and second trains is 3:4.

The second train's distance covered=600km

The second train's time taken=6 hours

So, the second train's speed=Distance covered/ time taken

=600/6

=100km/hr

Now, the speeds' ratio=X:100

We will equate the ratios,

X/100=3/4

X=3×100/4

X=3×25

X=75

Therefore, the first train's required speed is 75 km/hr.