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Aaron starts walking at a rate of 
3mi//h on a road toward a store 
10mi away. Zhang leaves the store when Aaron starts walking, and he walks toward Aaron along the same road at 2 
mi//h. How many hours will pass before they meet?
A 
1.5h
C 
2h
B 
10h
D 
3h

22. Aaron starts walking at a rate of 3mi/h 3 \mathrm{mi} / \mathrm{h} on a road toward a store 10mi 10 \mathrm{mi} away. Zhang leaves the store when Aaron starts walking, and he walks toward Aaron along the same road at 22 mi/h \mathrm{mi} / \mathrm{h} . How many hours will pass before they meet?\newlineA 1.5 h 1.5 \mathrm{~h} \newlineC 2 h 2 \mathrm{~h} \newlineB 10 h 10 \mathrm{~h} \newlineD 3 h 3 \mathrm{~h}

Full solution

Q. 22. Aaron starts walking at a rate of 3mi/h 3 \mathrm{mi} / \mathrm{h} on a road toward a store 10mi 10 \mathrm{mi} away. Zhang leaves the store when Aaron starts walking, and he walks toward Aaron along the same road at 22 mi/h \mathrm{mi} / \mathrm{h} . How many hours will pass before they meet?\newlineA 1.5 h 1.5 \mathrm{~h} \newlineC 2 h 2 \mathrm{~h} \newlineB 10 h 10 \mathrm{~h} \newlineD 3 h 3 \mathrm{~h}
  1. Aaron's Speed Calculation: Aaron's speed is 3mi/h3 \, \text{mi/h} and Zhang's speed is 2mi/h2 \, \text{mi/h}. Together, they cover 3+2=5mi/h3 + 2 = 5 \, \text{mi/h}.
  2. Distance Calculation: The distance between them is 1010 miles. To find the time it takes for them to meet, divide the distance by their combined speed: 10mi5mi/h=2h\frac{10 \, \text{mi}}{5 \, \text{mi/h}} = 2 \, \text{h}.
  3. Time to Meet Calculation: So, they will meet after 22 hours.

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