1. a. To find the time it takes for Cindy to travel 53.5 km at a constant speed of 13 km/h, use the formula: time = distance / speed.
- time = 53.5 km / 13 km/h = 4.115 hours.
- Convert 0.115 hours to minutes: 0.115 * 60 = 6.9 minutes.
- Therefore, it will take Cindy approximately 4 hours and 7 minutes.
1. b. To find Emily's average speed, use the formula: average speed = total distance / total time.
- Total distance = 34.7 km.
- Total time = 4 hours 20 minutes = 4 + 20/60 = 4.333 hours.
- average speed = 34.7 km / 4.333 hours ≈ 8.01 km/h.
2. a. To find Caleb's average speed for the total trip, first calculate the total distance and total time.
- Total distance = 38 km + 83.6 km = 121.6 km.
- Time for first part = 38 km / 20 km/h = 1.9 hours.
- Time for second part = 83.6 km / 19 km/h = 4.4 hours.
- Total time = 1.9 + 4.4 = 6.3 hours.
- Average speed = 121.6 km / 6.3 hours ≈ 19.3 km/h.
2. b. To find the time it takes for Caleb to travel 23.7 km at a constant speed of 11 km/h, use the formula: time = distance / speed.
- time = 23.7 km / 11 km/h ≈ 2.155 hours.
- Convert 0.155 hours to minutes: 0.155 * 60 = 9.3 minutes.
- Therefore, it will take Caleb approximately 2 hours and 9 minutes.
Parent Tip: Review the logic above to help your child master the concept of distance problems worksheet.
