Question : Shatabdi Express train covers 700 km in 5 hours and another 1012 km in 11 hours. What is the average speed of the train (in metres/second)?
Option 1: $107$
Option 2: $385 \frac{1}{5}$
Option 3: $29 \frac{13}{18}$
Option 4: $27$
Correct Answer: $29 \frac{13}{18}$
Solution :
Distance travelled by Shatabdi in 5 hours($T_1$), $D_1$ = 700 km
Distance travelled by Shatabdi in 11 hours($T_2$), $D_2$ = 1012 km
Average Speed
= $\frac{D_{1}+D_{2}}{T_{1}+ T_{2}}$
= $\frac {700+1012}{(5+11)}$
= $107$ km/hr
= $107\times \frac{5}{18}$ m/s
= $29\frac{13}{18}$ m/s
Hence, the correct answer is $29\frac{13}{18}$.
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