1. A cyclist covers a distance of 45 kilometers in 2.5 hours. Calculate the speed of the cyclist.2. A train travels at a speed of 80 km/hr for 4 hours. How far does the train travel in this time?3. A boat covers a distance of 160 kilometers in 5 hours. What Is the speed of the boat in km/h?4. Tom can mow a lawn in 2 hours, while Jerry can mow the same lawn in 3 hours. How long would it takethem to mow the lawn together?5. A recipe calls for 2 cups of flour to make 24 cookies. What is the unit rate of flour in cups per cookies?
Answer (1)
1. Speed of the Cyclist: - Distance = 45 km- Time = 2.5 hours- Speed = Distance / Time- Speed = 45 km / 2.5 hours- Speed = 18 km/h Therefore, the speed of the cyclist is 18 km/h.2. Distance Traveled by the Train: - Speed = 80 km/hr- Time = 4 hours- Distance = Speed x Time- Distance = 80 km/hr x 4 hours- Distance = 320 km Therefore, the train travels 320 km in 4 hours.3. Speed of the Boat: - Distance = 160 km- Time = 5 hours- Speed = Distance / Time- Speed = 160 km / 5 hours- Speed = 32 km/h Therefore, the speed of the boat is 32 km/h.4. Time Taken to Mow the Lawn Together: - Tom's rate = 1 lawn / 2 hours- Jerry's rate = 1 lawn / 3 hours- Combined rate = Tom's rate + Jerry's rate- Combined rate = 1/2 + 1/3 = 5/6 lawns per hour- Time taken together = 1 lawn / (5/6 lawns per hour) = 6/5 hours Therefore, it would take them 1.2 hours or 1 hour and 12 minutes to mow the lawn together.5. Unit Rate of Flour in Cups per Cookie: - Flour = 2 cups- Cookies = 24- Unit rate = Flour / Cookies- Unit rate = 2 cups / 24 cookies- Unit rate = 1/12 cups per cookie(Hope this helps!)
