meeting time.... help me pls..

Question

a train starts from point A at 4 pm reaches at point b at 5 pm. another train starts from point B at 4 pm reaches at point A at 5.30 pm when they will meet.(time)

Answer 1

Distance = (Rate)(Time)

 

If each train travels from A to B, the distances traveled are the same.  

 

Let r₁ = rate of first train and r₂ = rate of second train.

 

Then, (r₁)(1) = (r₂)(1.5).    So, r₂ = (2/3)r1

 

Let T = time elapsed (since 4 PM) when the trains meet

 

Then, r₁T + (2/3)r₁T = total distance from A to B = D

 

But, D = (r₁)(1) = r_1.

 

So, r₁T + (2/3)r₁T = r₁

 

               (5/3)r₁T = r₁

 

Therefore, T = 3/5 hours.

 

The trains meet at 4:36 PM.