Question

The parking charge of a car in Hyderabad railway station for the first two hours is Rs. 50 and Rs. 10 for each subsequent hour. Find the following charges for three hours.

Answer 1

Hint: We will consider the charges by taking it with time. For example here time is 2 hours first so, we will consider the time for 2 hours and after that by taking the total time as x we will subtract these 2 hours from it in order to solve the question further.

Complete step-by-step answer:
We are given that the parking charge for the first two hours in Hyderabad railway station is Rs. 50. But this is only for two hours. As we do not know about the total hours here, we will suppose that the total hours is x hours. Now for the remaining time we will subtract the given 2 hours from x hours therefore, we get (x – 2) hours. According to the question we have that; there is a charge of Rs. 10 for each subsequent hour. Thus, we actually have for (x – 2) hours the charges are Rs. 10. This results into the fact that the charge for 1 hour is going to be Rs. 10(x – 2).
As we need to find the charges for three hours so, we will add the two charges and put it like so Total charges = the charge for first two hours + the charge for remaining hours. Thus we get,
$\text{Total charges = Rs}\text{. }50+\text{Rs}\text{. }10\left( x-2 \right)$. As we need to find the charge for 3 hours so we will substitute x = 3 because x is the total time here. Therefore, we get $\begin{align}
  & \text{Total charges = Rs}\text{. }50+\text{Rs}\text{. }10\left( 3-2 \right) \\
 & \Rightarrow \text{Total charges = Rs}\text{. }50+\text{Rs}\text{. }10 \\
 & \Rightarrow \text{Total charges = Rs}\text{. 60} \\
\end{align}$
Hence, the total charges for three hours are Rs. 60.

Note: Be aware of writing the charge for 1 hour is going to be Rs. 10(x – 2). Do not mistake in writing this as Rs. $\dfrac{10}{x-2}$ otherwise the answer will be wrong. Do not forget to write Rs. in the calculations so that we write it in the answer perfectly. We can also find the total hours here by dividing the hours as 1 hour, 2 hours and 3 hours. After that we will solve it as usual. The formation of the equation makes the calculation easy as we will be able to see the solution in an accurate way. We can also substitute the value of x later after solving the equation. By doing this also we will get the same answer.