1. Speed = Distance / Time = 30 miles / 4 hours = 7.5 mph.
2. First, find the distance: Distance = Speed × Time = 50 mph × 3 hours = 150 miles. Then, find the new speed: Speed = Distance / Time = 150 miles / 4.5 hours ≈ 33.33 mph.
3. Convert 1 hour 25 minutes to hours: 1 + 25/60 = 1.4167 hours. Distance for first part: 15 km/h × 2 h = 30 km. Distance for second part: 18 km/h × 1.4167 h ≈ 25.5 km. Total distance: 30 km + 25.5 km = 55.5 km.
4. Time for first part: Time = Distance / Speed = 40 miles / 40 mph = 1 hour. Time for second part: 60 miles / 50 mph = 1.2 hours. Total time: 1 + 1.2 = 2.2 hours.
5. Time = Distance / Speed = 11 miles / 60 mph = 0.1833 hours. Convert to minutes: 0.1833 × 60 ≈ 11 minutes.
6. Convert 1 hour 30 minutes to hours: 1.5 hours. Convert 1 hour 10 minutes to hours: 1 + 10/60 ≈ 1.1667 hours. Distance for first part: 10 km/h × 1.5 h = 15 km. Distance for second part: 20 km/h × 1.1667 h ≈ 23.33 km. Total distance: 15 km + 23.33 km = 38.33 km.
Parent Tip: Review the logic above to help your child master the concept of distance rate time problems worksheet.
