Question

Two trains , 110m and 140m long are travelling in the opposite directions at the speed of 33 kmph and 57 kmph respectively. Find the time they will take to cross each other.​

Answer 1

Step-by-step explanation:

Solution

verified

Verified by Toppr

Correct option is

D

10.8

Relative speed =(60+40)km/hr=(100×

18

5

)m/sec=(

9

250

)m/sec.

Distance covered in crossing each other =(140+160)m=300m

Required time =

Speed

Distance

=

(

9

250

)

300

=(300×

250

9

)sec=

5

54

sec=10.8sec.

Answer 2

The trains will cross each other in 10 seconds.

Given:

• Two trains , 110m and 140m long are travelling in the opposite directions.
• The speed of trains are 33 kmph and 57 kmph respectively.

To find:

• Find the time they will take to cross each other.

Solution:

Concept/formula to be used:

• Speed= Distance/Time
• If the speed of two trains are 'x' and 'y' kmph, then
• Relative speed of trains when travelling in opposite directions: (x+y) kmph

Step 1:

Find the distance covered by trains and relatives speed .

Length of first train : 110 m

Length of second train: 140 m

Distance covered by trains to cross each other $= 110 + 140$

Distance covered by trains to cross each other $\bf = 250 \: meters$

Relative speed of trains$= 33 + 57$

Relative speed of trains$\bf = 90 \: kmph$

Step 2:

Find the time in which they cross each other.

Time= Distance/Speed

Since the distance is in meters, speed should be converted in m/s.

$Relative\:Speed= 90 \times \frac{5}{18} \: m/s$

$Time\:Taken= \frac{250}{90 \times \frac{5}{18} }$

$= \frac{250 \times 18}{90 \times 5}$

$= 5 \times 2$

$\bf Time\:Taken = 10 \: seconds$

Thus,

The trains will cross each other in 10 seconds.

Learn more:

1) When there is a decrease of 5 km/hr in the usual uniform speed of a goods train, due to track repair work going on it ta...

https://brainly.in/question/5030441

2)by travelling at the speed of 28.5 km per hour how much distance will a man cover in 3 hours 48 minutes

https://brainly.in/question/12190673

#SPJ2