Question

if a train travel(30d^2+15d-10) km in 10 hours what is the average speed​

Answer 1

You can further solve this by middle term splitting method

Answer 2

$\underline{\mathfrak{\huge{The\:Question:}}}$

If a train travels $\tt{30d^{2} + 15d - 10}$ kms in 10 hours. Find the average speed of the train.

$\underline{\mathfrak{\huge{Your\:Answer}}}$

We are given that :-

Distance travelled by the train = $\bold{30d^{2} + 15d - 10}$

Time taken by the train = 10 hours

Speed of the train = $\tt{\frac{Distance}{Time}}$

=》 Speed of the train will be = $\bold{\frac{30d^{2} + 15d - 10}{10}}$

Taking 5 common from both, the denominator and the numerator, we get :-

=》 Speed of the train = $\tt{\frac{5(6d^{2} + 3d - 2)}{5(2)}}$

=》 Speed = $\tt{\frac{6d^{2} + 3d - 2}{2}}$

We can divide every term individually now, and then find the answer :-

=》 Speed = $\tt{3d^{2} + \frac{3d}{2} - 1}$

There's your answer !