This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Calculate the number of bottles needed for 1.1.5. The total water required is 300 L (from the previous calculation for 1.1.1). Each bottle holds 500 ml. First, convert the total water required from litres to millilitres. 300 L × 1000 ml/L = 300,000 ml Next, divide the total millilitres by the volume per bottle to find the number of bottles. Number of bottles = 300,000 ml500 ml/bottle = 600 bottles 600 bottles Step 2: Address question 1.1.6. The total duration of the event is not provided in the given information. Therefore, this question cannot be answered. Step 3: Calculate the time to complete the race for 1.1.7. The distance of the race is 1500 m, and the average speed is 5 m/s. Use the formula: Time = DistanceSpeed. Time in seconds = 1500 m5 m/s = 300 s Now, convert the total seconds into minutes and seconds. There are 60 seconds in 1 minute. Minutes = 300 s60 s/min = 5 min Remaining seconds = 300 s - (5 min × 60 s/min) = 300 s - 300 s = 0 s So, the time taken is 5 minutes and 0 seconds. 5 minutes and 0 seconds Step 4: Calculate the time to dispense water for 1.1.8. Water is dispensed at a rate of 0.25 litres per second, and 50 litres of water need to be dispensed. Use the formula: Time = Total VolumeRate. Time in seconds = 50 L0.25 L/s = 200 s Now, convert the total seconds into minutes. Time in minutes = 200 s60 s/min = 3.333... min To express this more precisely, it's 3 minutes and 20 seconds (0.333... × 60 = 20). However, the question asks for the time in minutes. Time in minutes = (200)/(60) = (10)/(3) min ≈ 3.33 min 3.33 minutes That's 2 down. 3 left today — send the next one.