Final answer:
To find the distance covered in 6 1/2 hours, you can set up a proportion using the information given. The distance covered in 6 1/2 hours is approximately 295 km. The time taken to travel 256 31/50 km is approximately 0.538 hours.
Step-by-step explanation:
To find the distance covered in 6 1/2 hours, we can use a proportion. We know that Seher travels 432 1/4 km in 9 1/2 hours. So, the average speed is 432 1/4 km divided by 9 1/2 hours. To find the distance covered in 6 1/2 hours, we can set up a proportion:
- 432 1/4 km / 9 1/2 hours = x km / 6 1/2 hours
To solve for x, we can cross multiply and divide:
- (432 1/4 km) * (6 1/2 hours) = (9 1/2 hours) * x km
- x = (432 1/4 km * 6 1/2 hours) / (9 1/2 hours)
Calculating the expression inside the parentheses gives us:
- x = 2805 1/4 km / 9 1/2 hours
- x = 295 km
Therefore, the distance covered in 6 1/2 hours is 295 km.
To find the time taken to travel 256 31/50 km, we can also use a proportion. We know that Seher travels 432 1/4 km in 9 1/2 hours. To find the time taken to travel 256 31/50 km, we can set up a proportion:
- 432 1/4 km / 9 1/2 hours = 256 31/50 km / x hours
To solve for x, we can cross multiply and divide:
- (432 1/4 km) * x hours = (9 1/2 hours) * (256 31/50 km)
- x = (9 1/2 hours * 256 31/50 km) / (432 1/4 km)
Calculating the expression inside the parentheses gives us:
- x = 232 3/4 hours / (432 1/4 km)
Therefore, the time taken to travel 256 31/50 km is approximately 0.538 hours.