Question

two train travelling along parallel tracks in the same direction do 50 km/he and 100 km/hr on average .the faster train starts 2 hour later than the slower .after how many kilometre will the faster train catch up?solution.

Answer 1

slower train in 2hour will go 100km
their speed difference is 50km/hr
so faster train will catch slower train in 100/50=2hour

Answer 2

Answer: The faster train would catch up after 200 km.

Step-by-step explanation:

Since we have given that

Speed of two trains travelling in the same direction = 50 km/hr, and 100 km/hr

According to question, the faster train starts 2 hour later than the slower.

Let the time taken by faster train be 't'.

Let the time taken by slower train be 't+2'

So, the equation when they meet.

$50(t+2)=100t\\\\50t+100=100t\\\\100=100t-50t\\\\100=50t\\\\t=\dfrac{100}{5}\\\\t=2\ hours$

So, the faster train would catch up after

$100\times 2=200\ km$

Hence, the faster train would catch up after 200 km.