Question

The Shatabdi Express leaves Mumbai Central at 6:25 am and reaches Ahmedabad at 12:45 pm on the same day. The Gujarat express leaves Mumbai Central at 5:45 am and reaches Ahmedabad at 3:00 pm on the same day. Which train takes more time to cover the distance between Mumbai and Ahmedabad? How much?

Answer 1

Hint: First, we will calculate the time the Shatabdi express took to reaches the station by subtracting the time the expresses leaves Mumbai Central from the time train reaches Ahmedabad. Then we will find the Gujarat express took to reaches the station by subtracting the time he leaves Mumbai Central from the time train reaches Ahmedabad to find the required values.

Complete step by step answer:

We are given that the Shatabdi Express leaves Mumbai Central at 6:25 am and reaches Ahmedabad at 12:45 pm on the same day.
We will now calculate the time the train took to reaches the station by subtracting the time he leaves Mumbai Central from the time train reaches Ahmedabad, we get
\[ \Rightarrow 12:45{\text{ pm}} - 6:25{\text{ am}} = 6:20\]
Thus, the time taken by the Shatabdi train reaches Ahmedabad is 6 hours 20 minutes.
Now converting the time in minutes by using the scale \[1{\text{ hour = 60 minutes}}\], we get
\[
   \Rightarrow \left( {6 \times 60 + 20} \right){\text{ minutes}} \\
   \Rightarrow \left( {360 + 20} \right){\text{ minutes}} \\
   \Rightarrow {\text{380 minutes}} \\
 \]
This means we have that the Shatabdi train reaches Ahmedabad in 380 minutes.
We are given that the Gujarat Express leaves Mumbai Central at 5:45 am and reaches Ahmedabad at 3:00 pm on the same day.
We will now calculate the time the train took to reaches the station by subtracting the time he leaves Mumbai Central from the time train reaches Ahmedabad, we get
\[ \Rightarrow 5:45{\text{ am}} - 3:00{\text{ pm}} = 9:15\]
Thus, the time taken by the Gujarat train reaches Ahmedabad is 9 hours 15 minutes.
Now converting the time in minutes by using the scale \[1{\text{ hour = 60 minutes}}\], we get
\[
   \Rightarrow \left( {9 \times 60 + 15} \right){\text{ minutes}} \\
   \Rightarrow \left( {540 + 15} \right){\text{ minutes}} \\
   \Rightarrow 555{\text{ minutes}} \\
 \]
This means we have that the Gujarat train reaches Mumbai in 555 minutes.

Since the Gujarat train takes more time than the Shatabdi train, so we will find the difference of the time taken by Gujarat train reaches Ahmedabad is 555 minutes and time taken by Shatabdi train reaches Ahmedabad is 6380 minutes, we get
\[
   \Rightarrow 555{\text{ minutes}} - 380{\text{ minutes}} \\
   \Rightarrow 175{\text{ minutes}} \\
 \]
Therefore, the Gujarat express takes 175 minutes more to cover that Shatabdi Express

Note: In solving these types of questions, the student should be careful about the time at am and pm to calculate the exact time. We have to subtract the time the express leaves and reaches to find the required value, or else the answer will be wrong. Do not get confused with the times about leaving and reaching a station. Convert the hours into minutes to avoid confusion.