The train from Station A to Station B leaves at $7$ : $24$ a.m. The trip usually takes $34$ minutes Today, the train is $4$ minutes late. Will the train arrive at Station B before $8$ : $00$ a.m. or af $8$ : $00$ a.m.? $\newline$ How do you know?

Full solution

Q. The train from Station A to Station B leaves at

7

24

a.m. The trip usually takes

34

minutes Today, the train is

4

minutes late. Will the train arrive at Station B before

8

00

a.m. or af

8

00

a.m.?

\newline

How do you know?

Calculate Scheduled Arrival Time: Let's calculate the scheduled arrival time first. The train leaves at $7:24$ a.m. and the trip usually takes $34$ minutes. $\newline$ Scheduled arrival time = Departure time + Travel time $\newline$ Scheduled arrival time = $7:24$ a.m. + $34$ minutes
Add Minutes to Departure Time: To add the minutes, we start by adding the minutes to the hour: $\newline$ $24$ minutes + $34$ minutes = $58$ minutes $\newline$ Since there are $60$ minutes in an hour, $58$ minutes is less than an hour, so we don't need to increase the hour part of the time. $\newline$ Scheduled arrival time = $7:58$ a.m.
Account for Train Delay: Now, we need to account for the train being $4$ minutes late. $\newline$ Actual arrival time = Scheduled arrival time + Delay $\newline$ Actual arrival time = $7:58$ a.m. + $4$ minutes
Calculate Actual Arrival Time: Adding the delay to the scheduled arrival time: $\newline$ $58$ minutes + $4$ minutes = $62$ minutes $\newline$ Since there are $60$ minutes in an hour, $62$ minutes is $1$ hour and $2$ minutes. $\newline$ Actual arrival time = $8:02$ a.m.
Final Arrival Time Comparison: The train will arrive at $8:02$ a.m., which is after $8:00$ a.m.