Question

Two trains start at same time from
two stations and proceed
towards
each other at the rate of 20 km/hr and
25 km/hr respectively. When they
meet, it is found that one train has
traveled 60 km more than the other.
What is the distance between the two
stations?​

Answer 1

★Given:-

• Two trains start at same time from  two stations and proceed  towards  each other.
• Speed of train 1 = 20km/hr
• Speed of train 2 = 25km/hr

When they  meet,

• One train has  traveled 60 km more than the other.

★To find:-

• Distance between two stations.

★Solution:-

Let the distance between two stations is 'd'

We know:

$\leadsto \underline{\boxed{\sf Time=\frac{Distance}{speed} }}$

Here,

Speed = 20 +25

           = 45

Time = t

Distance = d

Substituting in the formula,

$\mapsto \sf t=\dfrac{d}{45}$

Given that,When they  meet, it is found that one train has  traveled 60 km more than the other.

And, Distance = speed × time

Therefore,According to question:

$:\implies \sf 25 t = 20t +60\\\\:\implies \sf 25t - 20t = 60 \\\\:\implies \sf 5t = 60 \\\\\sf As\ [t=\dfrac{d}{45}] ,\\\\:\implies \sf 5\times \dfrac{d}{45} = 60\\\\:\implies \boxed{\boxed{\sf d=540km.}}$

Hence,

The distance between the two stations is 540km.

________________

Know more:-

⤠To convert from km / hour to m / sec,

• Multiply by 5 / 18.
• 1 km / hour = 5 / 18 m / sec .

⤠To convert from m / sec to km / hour,

• Multiply by 18 / 5.
• 1 m / sec = 18 / 5 km / hour = 3.6 km / hour

⤠ 1 km/hr = 5/8 miles/hour.

⤠If the ratio of speeds is a : b,

• The ratio of time taken to cover the distance would be b : a and vice versa.

⤠Average Speed = (Total distance traveled)/(Total time taken)

⤠Units:-

• Time: seconds(s), minutes (min), hours (hr)

• Distance: meters (m), kilometers (km), miles, feet

• Speed: m/s, kmph.

______________

Answer 2

★Given:-

Two trains start at same time from  two stations and proceed  towards  each other.

Speed of train 1 = 20km/hr

Speed of train 2 = 25km/hr

When they  meet,

One train has  traveled 60 km more than the other.

★To find:-

Distance between two stations.

★Solution:-

Let the distance between two stations is 'd'

We know:

$\leadsto \underline{\boxed{\sf Time=\frac{Distance}{speed} }}$

Here,

Speed = 20 +25

           = 45

Time = t

Distance = d

Substituting in the formula,

$\mapsto \sf t=\dfrac{d}{45}$

Given that,When they  meet, it is found that one train has  traveled 60 km more than the other.

And, Distance = speed × time

Therefore,According to question:

$:\implies \sf 25 t = 20t +60\\\\:\implies \sf 25t - 20t = 60 \\\\:\implies \sf 5t = 60 \\\\\sf As\ [t=\dfrac{d}{45}] ,\\\\:\implies \sf 5\times \dfrac{d}{45} = 60\\\\:\implies \boxed{\boxed{\sf d=540km.}}$

Hence,

The distance between the two stations is 540km.

________________

Know more:-

⤠To convert from km / hour to m / sec,

Multiply by 5 / 18.

1 km / hour = 5 / 18 m / sec

.

⤠To convert from m / sec to km / hour,

Multiply by 18 / 5.

1 m / sec = 18 / 5 km / hour = 3.6 km / hour

⤠ 1 km/hr = 5/8 miles/hour.

⤠If the ratio of speeds is a : b,

The ratio of time taken to cover the distance would be b : a and vice versa.

⤠Average Speed = (Total distance traveled)/(Total time taken)

⤠Units:-

Time: seconds(s), minutes (min), hours (hr)

Distance: meters (m), kilometers (km), miles, feet

Speed: m/s, kmph.

______________