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: Determine the individual vaccination rates of Doctor A and Doctor B. Doctor A vaccinates 1 patient in 4 minutes. Doctor B vaccinates 1 patient in 3 minutes. Step 2: Calculate the combined vaccination rate of both doctors. Their combined rate is the sum of their individual rates: Combined Rate = (1)/(4) patient/minute + (1)/(3) patient/minute Combined Rate = (3)/(12) + (4)/(12) = (7)/(12) patients/minute Step 3: Calculate the total time required to vaccinate 168 patients. Total Time = Total PatientsCombined Rate Total Time = 168 patients(7)/(12) patients/minute Total Time = 168 × (12)/(7) minutes Total Time = 24 × 12 minutes Total Time = 288 minutes Step 4: Convert the total time from minutes to hours and minutes. There are 60 minutes in an hour. 288 minutes = (288)/(60) hours = 4 hours and 48 minutes (4 × 60 = 240, 288 - 240 = 48) Step 5: Calculate the finishing time by adding the total time to the starting time. Starting time: 7:30 am Add 4 hours: 7:30 am + 4 hours = 11:30 am Add 48 minutes: 11:30 am + 48 minutes = 12:18 pm The two doctors will finish vaccinating at 12:18 pm. That's 2 down. 3 left today — send the next one.