A man jogs to the shop and back in half an hour. On the way to the shop, he jogs at [tex]4 \, \text{m/s}[/tex], and on the way back, he jogs at [tex]5 \, \text{m/s}[/tex]. Ignoring time spent in the shop, find the distance to the shop.
Answer (3)
The man jogs to the shop and back in half an hour. The total distance to the shop is 8100 meters.
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To find the distance to the shop, we need to calculate the total distance traveled by the man. We know that he jogs to the shop and back in half an hour, so the total time is 30 minutes. On the way to the shop, he jogs at a speed of 4 m/s, and on the way back, he jogs at a speed of 5 m/s.
To calculate the total distance, we can use the formula:
Total distance = Speed x Time
On the way to the shop: Distance to the shop = 4 m/s x 15 minutes = 60 meters
On the way back: Distance from the shop = 5 m/s x 15 minutes = 75 meters
The total distance to the shop is the sum of these distances: 60 meters + 75 meters = 135 meters.
The distance to the shop is 4000 meters (or 4 kilometers). This is calculated using the total time taken for the round trip and the individual speeds on the way to and from the shop. By setting up an equation based on these variables, we find the distance to be 4000 meters.
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