Question

A train leaves New Delhi at 1915 hours and drives Mathura at 2205 hours the distance between two stations is 144 km find the speed of the train.​

Answer 1

Correct Question :

A train leaves New Delhi at 19 : 15 hours and drives Mathura at 22 : 05 hours the distance between two stations is 144 km find the speed of the train.

AnswEr :

• Total Distance = 144 km

$\qquad \quad\tiny{60}\\\: \: \:\sf22 :05 \\ \: \: \: \sf19 :15 \\ \dfrac{ \qquad\qquad}{}\\ \: \: \: \sf02 :50 \:hours$

• Total Time = 2hr 50 min. = 170 min

$\bigstar \:\boxed{\sf Distance = Speed \times Time}$

$\rule{170}{1}$

$\underline{\bigstar\:\textsf{According to the Question Now :}}$

$:\implies\tt Distance = Speed \times Time\\\\\\:\implies\tt 144 \:km = Speed \times 170 \:min\\\\\\:\implies\tt 144 \:km = Speed \times\dfrac{170}{60} \:hr\\\\\\:\implies\tt 144 \:km = Speed \times \dfrac{17}{6} \:hr\\\\\\:\implies\tt 144 \:km \times\dfrac{6}{17} \:hr = Speed\\\\\\:\implies\tt 8.47 \times 6 = Speed\\\\\\:\implies\boxed{\blue{\tt Speed = 50.82 \:Km/hr}}$

⠀

$\therefore\:\underline{\textsf{Speed of Train is \textbf{50.82 Km/hr}}}$

Answer 2

Correct Question:

A train leaves New Delhi at 19 : 15 hours and drives Mathura at 22 : 05 hours the distance between two stations is 144 km find the speed of the train.

Answer:

50.823 km/hr

Step-by-step explanation:

Given that a train leaves New Delhi at 19 : 15 hrs and reaches Mathura at 22 : 05 hrs.

Time taken to reach the destination = Difference between the given time = 2 : 50 hrs

As we know that,

1 hour = 60 minutes

Therefore, Time = 2(60) + 50 min

= 170 min

= 170/60 hrs

Given distance = 144 km

As we know that

Speed = Distance / Time

Putting known values.

→ Speed = 144 / (170/60)

→ Speed = (144 × 60) / 170

→ Speed = 50.823 km/hr