gsm8k-0008

# GSM8K Problem 9

John drives for 3 hours at a speed of 60 mph and then turns around because he realizes he forgot something very important at home.  He tries to get home in 4 hours but spends the first 2 hours in standstill traffic.  He spends the next half-hour driving at a speed of 30mph, before being able to drive the remaining time of the 4 hours going at 80 mph.  How far is he from home at the end of those 4 hours?

Reason step by step, then give ONLY the final answer on the last line as \boxed{ANSWER}.

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Let's break down John's journey step by step:

1. John drives for 3 hours at a speed of 60 mph. So, he covers a distance of 3 hours * 60 mph = 180 miles.
2. He realizes he forgot something and turns around. He now has 4 hours to get home.
3. He spends the first 2 hours in standstill traffic, so he covers 0 miles.
4. He then spends the next half-hour (0.5 hours) driving at a speed of 30 mph. So, he covers 0.5 hours * 30 mph = 15 miles.
5. He has 1.5 hours left to drive at a speed of 80 mph. So, he covers 1.5 hours * 80 mph = 120 miles.

Now, let's calculate the total distance he is from home at the end of those 4 hours:

He drove 180 miles away from home and then drove 15 miles back towards home. So, he is 180 - 15 = 165 miles away from home.

Therefore, the final answer is \boxed{165} miles.