Question

If a train runs at 40 kmph it reaches its destination late by 11 minutes . But if it runs at 50 kmph it is late by 5 minutes only. Find the distance to be covered by the train.

Answer 1

$\textbf{Answer}$


Lets suppose that the correct time in which the train has to cover the fixed distance is x minutes.

So according to the question,
When train runs at 40 kmph,
Distance travelled = 40 × (x+11) ------(1)

When train travels at 50kmph,
Distance travelled = 50 × (x+5) ------(2)

Since distance travelled in both situations is the same,

=> 40 × (x+11) = 50 × (x+5)

Dividing both sides by 10,

4 × (x+11) = 5 × (x+5)

=> 4x + 44 = 5x + 25

=> 5x - 4x =44 - 25

$\textbf{x = 19 minutes}$

Lets put value of x as 19 in equation (1)

=> Distance travelled = 40 × (x+11)
=> Distance travelled = 40 × (19+11)
=> Distance travelled = 40 × 30
=> Distance travelled = 1200 km


$\textbf{So the distance to be covered by train is 1200 km}$


$\textbf{Hope It Helps}$

$\textbf{Thanks}$