Usain bolt runs 100 metres in 9.58 seconds. If hypothetically he was able to maintain the same average speed, how long would it take him to run a 42 km marathon to the nearest hour?
Question
Usain bolt runs 100 metres in 9.58 seconds. If hypothetically he was able to maintain the same average speed, how long would it take him to run a 42 km marathon to the nearest hour?
Solution
First, we need to convert the marathon distance from kilometers to meters because Usain Bolt's speed is given in meters per second.
1 kilometer is equal to 1000 meters. So, 42 kilometers is equal to 42,000 meters.
Next, we need to find out how long it takes Usain Bolt to run one meter.
He runs 100 meters in 9.58 seconds. So, to run 1 meter, it would take him 9.58/100 = 0.0958 seconds.
Now, we can find out how long it would take him to run 42,000 meters (or 42 kilometers).
42,000 meters * 0.0958 seconds/meter = 4023.6 seconds.
Finally, we need to convert seconds to hours because the question asks for the answer to the nearest hour.
1 hour is equal to 3600 seconds. So, 4023.6 seconds is equal to 4023.6/3600 = 1.12 hours.
Rounding to the nearest hour, it would take Usain Bolt approximately 1 hour to run a 42 km marathon if he was able to maintain his 100 meter speed.
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