Question

the distance between delhi and jaipur is 288 km. pink city express leaves delhi at 10.50 pm and reaches jaipur at 4.30 am the next day. the total time for stoppage between delhi to jaipur is 40 min .find the speed average of the train​

Answer 1

Given:

• the distance between delhi and jaipur is 288 km.

• pink city express leaves delhi at 10.50 pm and reaches jaipur at 4.30 am the next day

• the total time for stoppage between delhi to jaipur is 40 min .

To Find:

• the speed average of the train.?

Solution:

• Now, here it's said that the distance the distance between jaipur and Delhi is 288km.

◐ let's calculate the time taken to cover the distance,

• The time taken equals the difference between 10:50pm and 4:30am

◉ Which is, 6 hours 40 mins★

↦ as, the train stopped for 40 mins

⊱ so, actual taime taken , = 6hrs 40min - 40mins

⊱ actual time taken = 6hrs★

____________________

↝ Now, let's calculate the speed :

$\pink{\underline{\mathfrak{As\:we\:know\:that}}}$

$\longrightarrow\blue{ \underline{ \boxed{ \pink{ \rm{speed = \frac{distance}{time \: taken} }}}} \bigstar}$

❍ let's substitute the values and evaluate now,

$\longrightarrow \sf \: speed = \frac{288km}{6hrs} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \longrightarrow \sf \: speed = 48km \: per \: hr \bigstar \: \:$

$\therefore \underline{ \rm{speed \: of \: the \: train = 48km \: phr} \bigstar}$

More to know:

$\leadsto \sf \: time = \frac{distance}{speed} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \leadsto \sf distance = speed \times time \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \leadsto \sf \: standrad \: unit \: of \: time = second \: \\ \\ \leadsto \sf \: standrad \: unit \: of \:speed = m \: per \: s$

Answer 2

Total Distance Between Delhi and Jaipur = 288km.

Departure Time From Delhi = 10 : 50 P.M.

Arrival Time at Jaipur 4 : 30 A.M.

• Travel Time : 12 : 00 + 4 : 30 - 10 : 50
• ⠀⠀⠀⠀16 : 30 - 10 : 50

• Stoppage Time = 0 : 40 [ Hour ]
• Running Time = 5 : 40 - 0 : 40 = 5 [ Hour ]

Average Speed : Total Distance ÷ Running Time.

⠀⠀⠀⠀= 288 ÷ 57.6 Km/h