1. **State the problem:** Flaumback drives to a job interview in 1.5 hours at 60 km/h. We want to find how many minutes longer the drive takes if he drives at 50 km/h instead.
2. **Write down the known values:**
- Speed 1: $v_1 = 60$ km/h
- Time 1: $t_1 = 1.5$ hours
- Speed 2: $v_2 = 50$ km/h
3. **Find the distance using the first speed and time:**
$$d = v_1 \times t_1 = 60 \times 1.5 = 90 \text{ km}$$
4. **Find the time taken at the second speed:**
$$t_2 = \frac{d}{v_2} = \frac{90}{50}$$
5. **Simplify the fraction:**
$$t_2 = \frac{\cancel{90}}{\cancel{50}} = \frac{9}{5} = 1.8 \text{ hours}$$
6. **Calculate the difference in time:**
$$\Delta t = t_2 - t_1 = 1.8 - 1.5 = 0.3 \text{ hours}$$
7. **Convert the time difference to minutes:**
$$0.3 \times 60 = 18 \text{ minutes}$$
**Final answer:** The drive takes 18 minutes longer at 50 km/h.
Drive Time Difference D187Da
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