1. Patty wants to go to the beach so need to plan her trip. The beach is 165 km away from her house. She will be on the Parkway most of the time going an average of 30 km/h. What time will she reach the beach if she leaves her house at 6:00am?
2. Jack has to take the bus to school and he can't be late again or he will have detention for a week. He leaves 24 m away from the bus stop. Jack woke up late and has 30 minutes to run to the bus stop? How fast must he run to make it to the bus stop on time?
3. The distance between Amy's home and the library is 150 meters. She walks 1m/s for 2 minute. How many meters were left for her to reach the library?
1.
165/30 = 5.5 hours
6:00 / 5:30 = ?
2. Please correct your typo and try it yourself.
3. 2 * 60 = 120 m
1. To calculate the time Patty will reach the beach, we need to divide the distance by the average speed.
The distance to the beach is 165 km and the average speed is 30 km/h. So, we can calculate the time as follows:
Time = Distance / Speed = 165 km / 30 km/h = 5.5 hours.
Therefore, Patty will reach the beach 5.5 hours after she leaves her house at 6:00 am. To determine the exact time, we add 5.5 hours to 6:00 am.
2. To find out how fast Jack must run to make it to the bus stop on time, we can calculate his required average speed.
Jack has 30 minutes to run a distance of 24 meters. To calculate the speed, we use the formula:
Speed = Distance / Time = 24 meters / 30 minutes
However, we need to convert the time from minutes to hours, as the distance is given in meters. There are 60 minutes in an hour, so we divide by 60:
Speed = 24 meters / (30 minutes / 60 minutes per hour)
Simplifying, we have:
Speed = 24 meters / (0.5 hours)
Speed = 48 meters per hour.
Therefore, Jack must run at a speed of 48 meters per hour in order to make it to the bus stop on time.
3. To calculate how many meters were left for Amy to reach the library, we need to subtract the distance she already walked from the total distance.
The total distance to the library is 150 meters, and Amy walked for 2 minutes at a speed of 1 m/s.
We need to find the distance covered in 2 minutes, which is equal to the speed multiplied by the time:
Distance covered = Speed * Time = 1 m/s * 2 minutes.
However, we need to convert the time from minutes to seconds, as the speed is given in meters per second. There are 60 seconds in a minute, so we multiply by 60:
Distance covered = 1 m/s * (2 minutes * 60 seconds per minute)
Simplifying, we have:
Distance covered = 1 m/s * 120 seconds
Distance covered = 120 meters.
Therefore, there were 150 meters - 120 meters = 30 meters left for Amy to reach the library.