Question

the gonzalez family drove from 10:38 am to 2:05 pm. how long did they drive? 4 hours 33 minutes 3 hours 27 minutes 3 hours 37 minutes 8 hours 33 minutes

Explanation:

Step1: Convert 2:05 PM to 24 - hour format

2:05 PM in 24 - hour format is \(14:05\).

Step2: Calculate the time difference

Subtract the start time \(10:38\) from the end time \(14:05\). First, calculate the minutes: \(05 - 38\) is not possible, so we borrow 1 hour from the hours part. 1 hour is 60 minutes, so \(05+60 = 65\) minutes. Now subtract the minutes: \(65 - 38=27\) minutes. Then subtract the hours: \(14 - 1- 10 = 3\) hours. Wait, no, wait. Wait, \(14:05-10:38\). Let's do it again. \(14\) hours and \(5\) minutes minus \(10\) hours and \(38\) minutes. We can write \(14\) hours and \(5\) minutes as \(13\) hours and \(65\) minutes (since \(1\) hour \( = 60\) minutes). Then \(13 - 10=3\) hours and \(65 - 38 = 27\) minutes? Wait, that's wrong. Wait, no, \(2:05\) PM is \(14:05\). \(14:05 - 10:38\). Let's calculate hours and minutes separately. Hours: \(14 - 10=4\) hours, but we have to adjust for the minutes because \(05<38\). So we take 1 hour from the 4 hours, so \(4 - 1 = 3\) hours, and add 60 minutes to the 5 minutes: \(60 + 5=65\) minutes. Now subtract minutes: \(65 - 38 = 27\) minutes. Hours: \(3\) hours. Wait, that gives 3 hours and 27 minutes? But that's one of the options. Wait, maybe I made a mistake. Wait, \(10:38\) AM to \(12:38\) PM is 2 hours. Then from \(12:38\) PM to \(2:05\) PM is 1 hour and \(27\) minutes (because \(2:05 - 12:38=1\) hour \(27\) minutes). So total time is \(2 + 1\) hour \(27\) minutes \(= 3\) hours \(27\) minutes.

Answer:

3 hours 27 minutes