Subjects algebra

Speed Difference

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1. **State the problem:** Wema drove from town A to town B in 48 minutes at an average speed of 90 km/h. Aisha took 32 minutes to drive the same distance. We need to find the difference in their speeds. 2. **Convert time to hours:** Wema's time: 48 minutes = \frac{48}{60} = 0.8 hours Aisha's time: 32 minutes = \frac{32}{60} = \frac{8}{15} \approx 0.5333 hours 3. **Calculate the distance from Wema's trip:** Distance = speed \times time = 90 \times 0.8 = 72 km 4. **Calculate Aisha's speed:** Speed = \frac{distance}{time} = \frac{72}{\frac{8}{15}} = 72 \times \frac{15}{8} = 135 \text{ km/h} 5. **Find the difference in their speeds:** Difference = 135 - 90 = 45 \text{ km/h} 6. **Answer:** The difference in their speeds is 45 km/h, which corresponds to option (e).