Question

when a train travels at 60kmph,it reaches the destination on time when the same train travels at speed of 50kmph it reaches its destination 15 mins late.what is the length of journey​

Answer 1

$\underline{\boxed{ \huge\purple{ \rm{Answer}}}}$

Given :

Velocity of first train = 60 kmph

Velocity of second train = 50 kmph

To Find :

length of journey ??

Formula :

Formula of velocity is given by...

$\: \: \: \: \dag \: \underline{ \boxed{ \bold{ \rm{ \pink{velocity = \frac{distance}{time}}}}}} \: \dag$

Calculation :

let,

time requires to complete the journey for first train = t hours

So, time requires to complete the journey for second train will be (t + 0.25) hours

$\implies \rm \: \boxed{ \rm{v_1 = \frac{d}{t}}} \: and \: \boxed{ \rm{v_2 = \frac{d}{t + 0.25} }} \\ \\ \rm \: we \: know \: that \: distance \: is \: same \: for \: both \\ \\ \therefore \rm \: v_1 \times t = v_2 \times (t + 0.25) \\ \\ \therefore \rm \: 60t = 50t + 12.5 \\ \\ \therefore \rm \: t = \frac{12.5}{10} = \green{1.25 \: hours} \\ \\ \implies \rm \: d = v_1 \times t = 60 \times 1.25 \\ \\ \therefore \: \underline{ \boxed{ \bold{ \rm{ \orange{d = 75 \: km}}}}} \: \purple{ \clubsuit}$

Answer 2

Answer:

d=75cm

because it same distance