Daniel leaves his house at 07:00. He drives 87 miles to work at an average speed of 36 miles per hour. At what time does Daniel arrive at work?
Answer (2)
Calculate the driving time using the formula T im e = Sp ee d D i s t an ce , which gives T im e = 36 87 = 2.416666... hours.
Convert the time to hours and minutes: 2 hours and 0.416666... × 60 = 25 minutes.
Add the driving time to the departure time: 07 : 00 + 02 : 25 = 09 : 25 .
Daniel arrives at work at 09 : 25 .
Explanation
Understanding the Problem Let's break down this problem step by step to figure out when Daniel arrives at work. We know Daniel leaves his house at 07:00, drives 87 miles to work, and his average speed is 36 miles per hour. Our goal is to find his arrival time.
Calculating Travel Time First, we need to calculate how long it takes Daniel to drive to work. We can use the formula: T im e = Sp ee d D i s t an ce In this case, the distance is 87 miles and the speed is 36 miles per hour.
Finding the Driving Time in Hours Now, let's plug in the values: T im e = 36 87 = 2.416666... h o u rs So, the driving time is approximately 2.42 hours.
Converting to Hours and Minutes To convert the time into hours and minutes, we take the whole number part, which is 2 hours. Then, we convert the decimal part (0.416666...) into minutes by multiplying it by 60: 0.416666... × 60 = 25 min u t es Therefore, the driving time is 2 hours and 25 minutes.
Calculating Arrival Time Finally, we add the driving time to Daniel's departure time. He leaves at 07:00, and the journey takes 2 hours and 25 minutes. So: 07 : 00 + 02 : 25 = 09 : 25 Daniel arrives at work at 09:25.
Final Answer Therefore, Daniel arrives at work at 09:25.
Examples
Understanding how to calculate travel time is useful in many real-life situations. For example, if you're planning a road trip, you can use the distance and your expected speed to estimate how long it will take to reach your destination. This helps you plan your stops, estimate arrival times, and manage your time effectively. Also, delivery services use similar calculations to provide estimated delivery times to customers. Knowing how to do this calculation helps in everyday planning and logistics.
Daniel travels 87 miles to work at an average speed of 36 miles per hour. After calculating the travel time, which is 2 hours and 25 minutes, we find that he arrives at work at 09:25. Thus, Daniel's arrival time is 09:25.
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