https://file.aiquickdraw.com/mathbot/file/1740678280834daqnvz51.jpg

The image contains a question in Afrikaans that discusses a man's travel times and speeds on his commute to and from work. Here's a translation of the text:

"A man drives the same route to work at a speed of 80 km/h, but on his way home, his average speed is 60 km/h. It takes him 6 minutes longer to return home than to go to work. How far is his workplace from home?"

### Steps to Solve:
1. Let the distance between home and work be denoted by \( d \) (in kilometers).
2. The time to drive to work at 80 km/h is \( t_1 = \frac{d}{80} \) hours.
3. The time to drive home at 60 km/h is \( t_2 = \frac{d}{60} \) hours.
4. The time difference is 6 minutes, which is \( \frac{6}{60} = 0.1 \) hours.

The equation for the time difference is:
\[
t_2 - t_1 = 0.1
\]
Substitute the expressions for \( t_1 \) and \( t_2 \):
\[
\frac{d}{60} - \frac{d}{80} = 0.1
\]
Now, solve this equation to find \( d \).

Would you like me to solve this equation for you?

A man drives the same route to work at a speed of 80 km/h, but on his way home, his average speed is 60 km/h. It takes him 6 minutes longer to return home than to go to work. How far is his workplace from home?

This problem involves calculating the distance between a man’s home and workplace based on varying travel speeds and time differences. Key concepts such as speed, time, and distance, as well as algebraic equations, are used to find the solution. Ideal for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation