Answer :
Answer:
They meet at 03.00 pm
Step-by-step explanation:
Given that, The distance between A and B is 490 km.
Further given that, A person travelled from ‘A’ to ‘B’ in 40 km/hr and started at 9 am
So, Distance covered by first person in 1 hour = 40 km
So, Remaining distance to be covered = 490 - 40 = 450 km
Further given that, after one hour another person travelled from ‘B’ to ‘A’ at 50 km/hr at 10.00 am.
It means, both the person have to covered a distance of 450 km with their respective speeds of 40 km/hr and 50 km/hr.
So,
[tex]\sf\: Time\:taken = \dfrac{Distance}{ Speed_{(First\: person)} + Speed_{( Second\: person)} } \\ [/tex]
[tex]\sf\: Time\:taken = \dfrac{450}{ 40 + 50 } \\ [/tex]
[tex]\sf\: Time\:taken = \dfrac{450}{ 90 } \\ [/tex]
[tex]\implies\sf\:Time\:taken = 5 \: hours \\ [/tex]
Hence, They meet together after 5 hours, i.e they meet at 3 pm