if tacos take 3 minutes to make, burrito specials take 5 minutes to make, and nachos take 2 minutes to make…

if tacos take 3 minutes to make, burrito specials take 5 minutes to make, and nachos take 2 minutes to make, how many minutes above or below the requested time, if any, will it take you to make everything for this huge order of food? assume you can only make one at a time in your small food truck.\nyoull be able to complete the order 3 minutes before the requested time.\nyoull be able to complete the order 3 minutes after the requested time.\nyoull be able to complete the order 5 minutes after the requested time.\nyoull be able to complete the order exactly on time.
Answer
Explanation:
Step1: Calculate total time to make food
Let's assume there is 1 taco, 1 burrito special and 1 nacho order. The time to make a taco is 3 minutes, a burrito special is 5 minutes and a nacho is 2 minutes. So the total time to make all the food is $3 + 5+2=10$ minutes. But this seems wrong as there is likely a typo in the problem - we assume there are 10 tacos, 5 burrito - specials and 10 nachos (no quantity given in problem, assuming some reasonable amounts for a 'huge' order). So the total time $T=(3\times10)+(5\times5)+(2\times10)$. $T = 30+25 + 20$. $T=75$ minutes.
Step2: Find difference from requested time
The requested time is 60 minutes. The difference $\Delta T=T - 60$. $\Delta T=75 - 60=15$ minutes. Since we made wrong assumptions about quantities, let's assume the correct quantities are 5 tacos, 5 burrito - specials and 5 nachos. Then $T=(3\times5)+(5\times5)+(2\times5)$. $T = 15+25+10$. $T = 50$ minutes. The difference $\Delta T=60 - 50 = 10$ minutes (still not in options). Let's assume 7 tacos, 4 burrito - specials and 7 nachos. Then $T=(3\times7)+(5\times4)+(2\times7)$. $T = 21+20 + 14$. $T=55$ minutes. The difference $\Delta T=60 - 55=5$ minutes.