Question

Two trains a and b each of length 50m are moving with constant speeds if one train a overtakes the other in 40sec while crosses the other in 20sec find the speeds of each car

Answer 1

✴️Heya...friend....✴️
==================

☛Have a look for your answer in the above pic :---

Hope it will help you!
Thanks!☺️
============

Answer 2

Answer:The velocity of train a and b is 3.75 m/s and 1.25 m/s.

Explanation:

Given that,

Length of each train = 50 m

Total distance = 100 m

Time of train a = 40 sec

Time of train b= 20 sec

Let us considered speed of train a is v and speed of train b is v'.

When train a overtakes the b then the relative velocity of a with respect to b is v-v'.

$v-v'= \dfrac{100}{40}= 2.5 m/s$.....(I)

When train a crosses the train b then the relative velocity of a with respect to b is v+v'

$v+v'=\dfrac{100}{20}= 5 m/s$....(II)

From equation (I) and (II)

$v-v' = 2.5$

$v+v' = 5$

After solving,

$v= 3.75 m/s$

Put the value of v in equation (I)

$3.75 -v'= 2.5$

$v' = 1.25 m/s$

Hence, The velocity of train a and b is 3.75 m/s and 1.25 m/s.