Please solve this question.

Ram started his journey at 6:00 AM with an average speed at 20km/hr.
Hari started his journey two hours later (at 8:00 AM) with an average speed of 30km/hr.
We have to find time at which they meet each other[tex].[/tex]
★ Let they meet each other after t hours wrt 6:00 AM.
At that time, distance covered by ram must be equal to the distance covered by hari.
We know that,
➤ Distance covered by Ram :
⭆ d₁ = v₁ × t
⭆ d₁ = 20 × t
➤ Distance covered by Hari :
Since hari started his journey after 2 hours so will take time = (t - 2) hours
⭆ d₂ = v₂ × (t - 2)
⭆ d₂ = 30 × (t - 2)
⭆ d₂ = 30t - 60
Now,
➠ d₁ = d₂
➠ 20t = 30t - 60
➠ 30t - 20t = 60
➠ 10t = 60
➠ t = 6 hrs
∴ They will meet at (6 + t) = 12PM
Answer: 12:00 pm (Noon)
Step-by-step explanation:
Let t represent the time (in hours) from 6:00 am
Use distance (d) = rate (r) × time (t)
Ram: time = t, r = 20 → d = 20t
Hari: time = t - 2, r = 30 → d = 30(t - 2)
Use Substitution method to solve the system of equations:
20t = 30(t - 2)
20t = 30t - 60
-10t = -60
t = 6
They travel the same distance when Ram rides his bike for 6 hours
and Hari rides his bike for 4 hours.
Ram: 6:00 am + 6 hours = 12:00 pm (Noon)
Hari: 8:00 am + 4 hours = 12:00 pm (Noon) [tex]\checkmark[/tex]