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This problem can be solved using the concept of rates of work. Joshua and Pet work at different rates, and we want to find out how long it will take them to mow the lawn together.

### Step-by-step solution:
1. **Joshua's rate of work**:
   - Joshua can mow the lawn in 60 minutes.
   - His rate of work is:  
     \[
     \text{Joshua's rate} = \frac{1}{60} \text{ lawn per minute.}
     \]

2. **Pet's rate of work**:
   - Pet can mow the lawn in 40 minutes.
   - His rate of work is:  
     \[
     \text{Pet's rate} = \frac{1}{40} \text{ lawn per minute.}
     \]

3. **Combined rate of work**:
   - If they work together, their rates are added together:
     \[
     \text{Combined rate} = \frac{1}{60} + \frac{1}{40}.
     \]

4. **Finding the combined rate**:
   To add the two fractions, we need a common denominator:
   \[
   \frac{1}{60} + \frac{1}{40} = \frac{2}{120} + \frac{3}{120} = \frac{5}{120} = \frac{1}{24}.
   \]
   So their combined rate is \( \frac{1}{24} \text{ lawn per minute}. \)

5. **Finding the time**:
   Since their combined rate is \( \frac{1}{24} \text{ lawn per minute} \), it will take them 24 minutes to mow the lawn together.

### Final Answer:
Joshua and Pet can mow the lawn together in **24 minutes**.

Would you like any further explanation or details?

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Here are 5 related questions:
1. What if Joshua mows the lawn in 80 minutes instead of 60? How would that affect the result?
2. How would the solution change if Pet could mow the lawn in 30 minutes?
3. How do you set up the equation if three people are mowing the lawn together?
4. What is the formula for combining rates of work for multiple people?
5. How long would it take Joshua to finish the lawn alone if he starts mowing halfway through Pet's work?

**Tip**: Always make sure to combine rates (fractions) with a common denominator when dealing with work problems.

Joshua can mow the lawn in 60 minutes and Pet can mow the lawn in 40 minutes. How long will it take for them to mow the lawn together?

Solve a problem involving rates of work where Joshua mows the lawn in 60 minutes and Pet mows it in 40 minutes. Learn how to find the time it takes for them to mow the lawn together, using rational expressions and combining rates. This problem is suitable for Grades 6-8.

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