Math Problem Statement

Abbas is onderhoudsmonteur bij een energieleverancier. Hij bekijkt de adressen die hij moet bezoeken. Hij gaat ervan uit dat hij gemiddeld 24 km/u rijdt.

Hoeveel minuten heeft Abbas per adres om het onderhoud uit te voeren? Rond het antwoord af op hele minuten.

Solution

To determine how many minutes Abbas has per address to perform maintenance, we'll follow these steps:

  1. Calculate the total travel time:

    • Abbas travels 18 km at an average speed of 24 km/h.
    • Travel time in hours=Total distanceAverage speed\text{in hours} = \frac{\text{Total distance}}{\text{Average speed}}
    • Travel time in hours=18 km24 km/h=0.75 hours\text{in hours} = \frac{18 \text{ km}}{24 \text{ km/h}} = 0.75 \text{ hours}
    • Convert travel time to minutes: 0.75 hours×60 minutes/hour=45 minutes0.75 \text{ hours} \times 60 \text{ minutes/hour} = 45 \text{ minutes}
  2. Calculate the total available time for maintenance:

    • Start time is 07:30 and expected end time is 12:00.
    • Total available time =12:0007:30=4 hours and 30 minutes=270 minutes= 12:00 - 07:30 = 4 \text{ hours and } 30 \text{ minutes} = 270 \text{ minutes}
  3. Calculate the time available for maintenance:

    • Total maintenance time =Total available timeTotal travel time= \text{Total available time} - \text{Total travel time}
    • Total maintenance time =270 minutes45 minutes=225 minutes= 270 \text{ minutes} - 45 \text{ minutes} = 225 \text{ minutes}
  4. Calculate the time per address:

    • There are 7 addresses to visit.
    • Time per address =Total maintenance timeNumber of addresses= \frac{\text{Total maintenance time}}{\text{Number of addresses}}
    • Time per address =225 minutes732.14 minutes= \frac{225 \text{ minutes}}{7} \approx 32.14 \text{ minutes}

After rounding to the nearest whole number:

32 minutes per address\boxed{32 \text{ minutes per address}}

Would you like more details or have any questions? Here are five more questions you can ask:

  1. How can I calculate the expected arrival time at each address?
  2. What would be the impact of varying travel speeds on the maintenance time?
  3. How do I determine the total distance traveled if some addresses need multiple visits?
  4. Can you show how to calculate the time if there is a break included?
  5. How would traffic conditions affect the overall schedule?

Tip: Always factor in potential delays when planning your schedule to ensure you have enough time for each task.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Speed, Distance, Time Calculations

Formulas

Time = Distance / Speed
Conversion of time units

Theorems

-

Suitable Grade Level

Not applicable (professional context)