Simpson Chandler
01/04/2024 · Primary School

b. Father leaves at 7:40 a.m. to drive 20 miles to work. If his average speed is 48 mph , when will he arrive at work? \( d=\quad v \quad t \) \( d \)

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To find out when the father will arrive at work, we can use the formula for distance: \[ d = v \cdot t \] Where: - \( d \) is the distance (20 miles), - \( v \) is the speed (48 mph), - \( t \) is the time in hours. First, we need to solve for \( t \): \[ t = \frac{d}{v} \] Substituting the values: \[ t = \frac{20 \text{ miles}}{48 \text{ mph}} \approx 0.4167 \text{ hours} \] To convert hours into minutes, we multiply by 60: \[ t \approx 0.4167 \times 60 \approx 25 \text{ minutes} \] Now, if the father leaves at 7:40 a.m. and it takes him approximately 25 minutes to reach work, we can calculate his arrival time: \[ 7:40 \text{ a.m.} + 25 \text{ minutes} = 8:05 \text{ a.m.} \] Therefore, the father will arrive at work at approximately **8:05 a.m.**

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The father will arrive at work at approximately 8:05 a.m.
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