Question

The Shatabdi express covers a distance of 250 km in 5 Hr between Amritsar and Delhi. What is the average speed of the train in (i) km/hr and (ii) m/s.​

Answer 1

Given:-

Shatabdi express covers the distance of 250 km

It takes the time is 5hrs

To calculate:-

ㅤㅤㅤㅤAverage speed in km/hr and m/s

Solution:-

As we know that,

$\bigstar \underline{\boxed{ \sf{{Speed}_{(avg)} = \frac{Total \: Distance}{Time \: taken} }}}$

ㅤㅤㅤㅤㅤSubstituting the values,

$\sf \: Speed = \dfrac{250 \: km}{5 \: hr}$

$\underline {\boxed{\sf{Speed = 50 \: km/hr}}}$

As we know that,

To convert the km/hr - m/s we have to multiply with 5/18 . Then it get converted into m/s .

Speed in m/s :-

$\longrightarrow \: \sf \: 50 \times \dfrac{5}{18} m/s$

$\longrightarrow \: \sf \: 25 \times \dfrac{5}{9} m/s$

$\longrightarrow \: \sf \: \dfrac{25 \times 5}{9} m/s$

$\longrightarrow \: \sf \: \dfrac{125}{9} m/s$

$\longrightarrow \: \sf \: 13.88 \: m/s$

$\underline{\boxed{\sf{Speed = 13.88 m/s}}}$

Required answer:-

50 km/hr and 13.88 m/s