The total travel time, 43 minutes, from my office to the park less the time to reach the bus stop is 8 minutes. How long does it take me to reach the bus stop?

To solve this, let's define variables to represent the unknowns in the problem.

Let:
- \( T_{\text{total}} \) represent the total travel time, which is given as 43 minutes.
- \( T_{\text{bus stop}} \) represent the time it takes to reach the bus stop, which is what we are trying to find.
- The time spent after reaching the bus stop (bus journey) is given as \( T_{\text{bus journey}} = 8 \) minutes less than the total travel time.

We can express this in the following equation:

\[
T_{\text{total}} = T_{\text{bus stop}} + T_{\text{bus journey}}
\]

Given that \( T_{\text{bus journey}} = T_{\text{total}} - 8 \), we substitute that into the equation:

\[
43 = T_{\text{bus stop}} + (43 - 8)
\]

Simplifying:

\[
43 = T_{\text{bus stop}} + 35
\]

Now, subtract 35 from both sides:

\[
T_{\text{bus stop}} = 43 - 35 = 8
\]

So, it takes 8 minutes to reach the bus stop.

Would you like further details or clarification on any step?

Here are 5 related questions to expand your understanding:
1. How would the equation change if the bus journey time were different?
2. What if the total time was given in hours instead of minutes?
3. How could we approach this problem using algebraic expressions?
4. How would you solve this if the time to reach the park was reduced by half?
5. Could this problem be solved using a graphical method?

**Tip:** When solving word problems, always define your variables clearly before writing equations.

The total travel time, 43 minutes, from my office to the park less the time to reach the bus stop is 8 minutes. How long does it take me to reach the bus stop?

This problem asks you to solve for the time to reach the bus stop, given a total travel time of 43 minutes, and the remaining travel time after reaching the bus stop is 8 minutes. Follow a step-by-step algebraic solution suitable for students in Grades 6-8.

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