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Let's solve the problems shown in the image.

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### Problem 3:
**How many seconds are there in:**
   - (a) **one hour and thirty-five minutes**
   - (b) **one day**

**Solution:**

(a) **One hour and thirty-five minutes**:

- 1 hour = \( 1 \times 3600 \, \text{seconds} = 3600 \, \text{seconds} \)
- 35 minutes = \( 35 \times 60 \, \text{seconds} = 2100 \, \text{seconds} \)

Thus, the total time is:
\[
3600 + 2100 = 5700 \, \text{seconds}
\]
So, **a = 5700 seconds**.

(b) **One day**:

- 1 day = 24 hours
- 1 hour = 3600 seconds

Thus, the total time is:
\[
24 \times 3600 = 86400 \, \text{seconds}
\]
So, **b = 86400 seconds**.

---

### Problem 4:
**Bicyclists in the Tour de France reach speeds of 34.0 miles per hour (mi/h). What is this speed in:**
   - (a) **kilometers per hour (km/h)**
   - (b) **meters per second (m/s)**

**Solution:**

(a) **Kilometers per hour (km/h)**:
The conversion factor from miles to kilometers is:
\[
1 \, \text{mile} = 1.60934 \, \text{kilometers}
\]
So, to convert 34.0 mi/h to km/h:
\[
34.0 \times 1.60934 = 54.71756 \, \text{km/h}
\]
Thus, **a = 54.72 km/h** (rounded to two decimal places).

(b) **Meters per second (m/s)**:
First, convert miles per hour to kilometers per hour (which is already done). Then, to convert km/h to m/s, use the conversion factor:
\[
1 \, \text{km/h} = \frac{1000 \, \text{meters}}{3600 \, \text{seconds}} = 0.27778 \, \text{m/s}
\]
Now, convert 54.71756 km/h to m/s:
\[
54.71756 \times 0.27778 = 15.1998 \, \text{m/s}
\]
Thus, **b = 15.20 m/s** (rounded to two decimal places).

---

Would you like more details or clarifications? 

Here are some related questions to explore:

1. How do you calculate time in seconds for any given number of hours and minutes?
2. What is the conversion factor from miles per hour to meters per second?
3. Can you generalize the method to convert any time unit to seconds?
4. What other factors can affect conversion between miles per hour and kilometers per hour in real-world scenarios?
5. How would you calculate the speed of a bicyclist over a longer distance, like 100 miles?

**Tip:** For accurate conversions, always use the correct conversion factors for miles, kilometers, and meters when switching between units.

How many seconds are there in (a) one hour and thirty-five minutes, and (b) one day? Convert 34.0 miles per hour to (a) kilometers per hour and (b) meters per second.

Learn how to convert 1 hour and 35 minutes into seconds and 34.0 miles per hour into kilometers per hour and meters per second. Step-by-step solutions include time and speed unit conversions, ideal for Grades 5-8 students.

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