Question

A train from london to bristol takes 30 km per hour and a train from bristol to london is 50 km per 1 hour when will the two trains meet up.

London to bristol is 100km

Answer 1

In order to find when the two trains will meet up, we can use the concept of relative speed. The relative speed of two trains is the sum of their individual speeds.

In this case, the relative speed is 30 + 50 = 80km/h

Since we know that the distance between London and Bristol is 100km, we can divide the distance by the relative speed to find the time it takes for the two trains to meet up:

100km / 80km/h = 1.25 hours

So, the two trains will meet up in 1.25 hours

Answer 2

1 hour 15 minutes

Explanation:

Relative Speed

If the two objects are moving in the opposite direction at different speeds, relative speed is the sum of their two speeds:

• 
  `v_1+v_2`

Using the formula:

`\boxed{\sf Time=(Distance)/(Speed)}`

Therefore:

`t=(d)/(v_1+v_2)`

where:

• v₁ is the first body’s speed.
• v₂ is the second body’s speed.
• d is the distance between the two bodies.
• t is the time when the two bodies meet.

Given:

• v₁ = 30 km/h
• v₂ = 50 km/h
• d = 100 km

Substitute the given values into the formula to find the time at which the two trains meet:

`\implies t=(100)/(30+50)=(100)/(80)=1.25\; \sf hours=1\; hour\;15\;mins`

Therefore, the two trains meet at 1 hour 15 minutes.