Question

A train travels at 6km/h for 0.52h , 30km/h for the next 0.24h,and then 70km/h for next 0.71h, what is the average speed of the train ?

Answer 1

Answer:40.83 km/hr

Explanation:

Answer 2

$\huge\mathbb{\purple{QUESTION-}}$

A train travels at 6km/h for 0.52h , 30km/h for the next 0.24h,and then 70km/h for next 0.71h, what is the average speed of the train ?

$\huge\mathbb{\purple{SOLUTION-}}$

$\large\underline{\underline{\sf Given:}}$

• ${\sf v_1= 6\:km/h}$
• ${\sf v_2=30\:km/h}$
• ${\sf v_3=70\: km/h}$
• ${\sf t_1= 0.52\:h}$
• ${\sf t_2=0.24\:h}$
• ${\sf t_3=0.71\:h}$

$\large\underline{\underline{\sf To\:Find:}}$

• Average Speed of the train${\sf (v_{av})}$

${\boxed{\bf Average\:Speed=\dfrac{Total\: Distance}{Total\: Time} }}$

$\implies{\sf v_{av}= \dfrac{v_1t_1+v_2t_2+v_3t_3}{t_1+t_2+t_3}}$

$\implies{\sf \dfrac{6×0.52+3×0.24+70×0.71}{0.52+0.24+0.71} }$

$\implies{\sf \dfrac{3.12+7.2+49.7}{1.47}}$

$\implies{\sf \dfrac{60.02}{1.47} }$

$\implies{\bf \red{v_{av}=40.8\:km/h} }$

$\huge\mathbb{\purple{ANSWER-}}$

Average Speed of train is ${\bf \red{40.8\: km/h}}$