1. A train was travelling at an average speed of 80km/h. If the train began a journey of 200km at 4.35pm, at what time did it reach its destination?
2. How many kilometres does a motorist travel between 11.45am and 2.00pm at an average speed of 68km/h?
3. A motorist set out on a journey of 165km at 13:45. If she completed the journey at 16:15, what was her average speed.?
1)
200/80 = 2.5 hours
4:35 + 2:30 = 6:65 = 7:05 pm
Please try the other two problems yourself. I'll be glad to check your answers.
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1. To find out the time it took for the train to reach its destination, we can use the formula: time = distance / speed.
Given:
- Average speed of the train = 80 km/h
- Distance travelled by the train = 200 km
Using the formula, we can calculate the time taken:
Time = 200 km / 80 km/h = 2.5 hours
Now, we need to add the time taken to the starting time of 4:35 pm.
4:35 pm + 2.5 hours = 7:05 pm
Therefore, the train reached its destination at 7:05 pm.
2. To find out the distance travelled by the motorist between 11:45 am and 2:00 pm, we can use the formula: distance = speed × time.
Given:
- Average speed of the motorist = 68 km/h
- Time travelled by the motorist = 2:00 pm - 11:45 am = 2 hours and 15 minutes
First, we need to convert 15 minutes into hours. 15 minutes is equivalent to 15/60 = 0.25 hours.
Using the formula, we can calculate the distance:
Distance = 68 km/h × (2 hours + 0.25 hours) = 68 km/h × 2.25 hours = 153 km
Therefore, the motorist traveled 153 km between 11:45 am and 2:00 pm.
3. To find out the average speed of the motorist, we can use the formula: speed = distance / time.
Given:
- Distance traveled by the motorist = 165 km
- Time taken to complete the journey = 16:15 - 13:45 = 2.5 hours
Using the formula, we can calculate the average speed:
Speed = 165 km / 2.5 hours = 66 km/h
Therefore, the motorist had an average speed of 66 km/h.
To solve these questions, we can use the formula:
Distance = Speed x Time
1. In question 1, we know the distance is 200 km and the speed is 80 km/h. To find the time it took for the train to reach its destination, we rearrange the formula to:
Time = Distance / Speed
Time = 200 km / 80 km/h
Time = 2.5 hours
Since the train began its journey at 4.35 pm, we can add the 2.5 hours to get the arrival time:
4.35 pm + 2.5 hours = 6.85 pm
Round off the decimal to the nearest minute:
6.85 pm is approximately 6:51 pm.
Therefore, the train reached its destination at around 6:51 pm.
2. In question 2, we know the average speed is 68 km/h. We need to calculate the distance traveled between 11.45 am and 2.00 pm. To do this, we need to find the time difference between the start and end time:
2.00 pm - 11.45 am = 2 hours and 15 minutes
Convert the 15 minutes to hours by dividing by 60:
15 minutes / 60 minutes/hour = 0.25 hours
Add the 2 hours and 0.25 hours:
2 hours + 0.25 hours = 2.25 hours
Now, use the formula:
Distance = Speed x Time
Distance = 68 km/h x 2.25 hours
Distance = 153 km
Therefore, the motorist traveled approximately 153 km between 11.45 am and 2.00 pm.
3. In question 3, we know the distance is 165 km. We need to find the average speed. To do this, we need to calculate the time it took for the motorist to complete the journey.
To find the time difference between the start and end time, we subtract 13:45 from 16:15:
16:15 - 13:45 = 2 hours and 30 minutes
Convert the 30 minutes to hours:
30 minutes / 60 minutes/hour = 0.5 hours
Add the 2 hours and 0.5 hours:
2 hours + 0.5 hours = 2.5 hours
Now we can calculate the average speed using the formula:
Average Speed = Distance / Time
Average Speed = 165 km / 2.5 hours
Average Speed = 66 km/h
Therefore, the motorist's average speed was 66 km/h for the 165 km journey.