Question

Two trains of lengths 150 metres and 225 metres respectively are running in opposite
direction on parallel track with the speed of 35 km/hr and 37 km/hr respectively. In what time
will they cross each other?
​

Answer 1

★Given:-

• Lengths of two trains = 150 metres and 225 metres respectively.
• They are running in opposite  direction on parallel track.
• Speed of trains = 35 km/hr and 37 km/hr respectively.

★To find:-

• In what time  will they cross each other?

★Solution:-

We know,

When two trains are moving in opposite direction,

◖The relative speed of the faster train w.r.t the slower train = Sum of their speeds.

Sum of their speeds:-

➺35+37

➺72kmph

                   

Converting units:-

To convert km/hr to m/s,we need to multiply the number by 5 and divide by 18.That is,

➺72kmph=72×(5/18)m/s

                = 20m/s.

Hence,

The relative speed is 20m/s.

And,

◖Distance travelled=Sum of the lengths of the two trains

➺Distance travelled = (150+225)

➺Distance travelled = 375

Using the formula,

✦Time = Distance/speed

Putting values,

➺Time = 375 /20

            = 18.75s.

Hence,they will cross each other at 18.75s.

______________

Answer 2

$\huge\pink{\mid{\fbox{\tt{your\:QUESTION}}\mid}}$

Two trains of lengths 150 metres and 225 metres respectively are running in opposite

direction on parallel track with the speed of 35 km/hr and 37 km/hr respectively. In what time

will they cross each other?

$\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}$

➪18.75 s.

$\huge\red{\mid{\underline{\overline{\textbf{Solution\:࿐}}}\mid}}$

We know,

When two trains are moving in opposite direction,

◖The relative speed of the faster train w.r.t the slower train = Sum of their speeds.

Sum of their speeds:-

➪35+37

➪72kmph

                   

Converting units:-

To convert km/hr to m/s,we need to multiply the number by 5 and divide by 18.That is,

$72kmph = 72 \times \frac{5}{18} m.per.sec$

Hence,

The relative speed is 20m/s.

And,

◖Distance travelled=Sum of the lengths of the two trains

➪Distance travelled = (150+225)

➪Distance travelled = 375

Using the formula,

✦Time = Distance/speed

Putting values,

➪Time = 375 /20

            = 18.75s.

Hence,they will cross each other at

$\bold{\huge{\fbox{\color{maroon}{18.75s.}}}}$

$\sf\red{hope\:it\:helps\:you}$