Q2 Convert the following amounts of time. 2(a) 7 days in weeks [1 mark] 2(b) 56 days in weeks [1 mark] 2(c) 12 months in years [1 mark] 2(d) 2 weeks in days [1 mark 2(e) 3 years in months 2(f) 4 hr in minutes 2(g) 28 min in seconds 2(h) 3600 s in hours 2(i) 336 hr in weeks 2(j) 3 weeks in hours

<br /><br />2(a) Convert 7 days into weeks:<br />Since 1 week consists of 7 days, we divide 7 days by 7 to find the weeks:<br /><br />\[ 7 \ days \ ÷ \ 7 \ = \ 1 \ week. \]<br /><br />Therefore, 7 days is equal to 1 week.<br /><br />2(b) Convert 56 days into weeks:<br />Again, with 7 days in a week, we divide 56 days by 7 to find the weeks:<br /><br />\[ 56 \ days \ ÷ \ 7 \ = \ 8 \ weeks. \]<br /><br />Therefore, 56 days equals 8 weeks.<br /><br />2(c) Convert 12 months into years:<br />Knowing that 1 year consists of 12 months, we divide 12 months by 12 to find out the years:<br /><br />\[ 12 \ months \ ÷ \ 12 \ = \ 1 \ year. \]<br /><br />Therefore, 12 months is equivalent to 1 year.<br /><br />2(d) Convert 2 weeks into days:<br />With 7 days in a week, we multiply 2 weeks by 7 to get the number of days:<br /><br />\[ 2 \ weeks \ × \ 7 \ = \ 14 \ days. \]<br /><br />Therefore, 2 weeks equals 14 days.<br /><br />2(e) Convert 3 years into months:<br />Given there are 12 months in a year, we multiply 3 years by 12 to obtain the months:<br /><br />\[3 \ years \ × \ 12 \ = \ 36 \ months. \]<br /><br />Therefore, 3 years is equivalent to 36 months. <br /><br />2(f) Convert 4 hours into minutes:<br />Considering that 1 hour contains 60 minutes, we multiply 4 hours by 60:<br /><br />\[ 4 \ hr \ × \ 60 \ = \ 240 \ min. \]<br /><br />Therefore, 4 hours turns out to be 240 minutes.<br /><br />2(g) Convert 28 minutes into seconds:<br />1 minute consists of 60 seconds, so we multiply 28 minutes by 60:<br /><br />\[ 28 \ min \ × \ 60 \ = \ 1680 \ sec. \]<br /> <br />Therefore, 28 minutes equals 1680 seconds.<br /><br />2(h) Convert 3600 seconds into hours:<br />Knowing there are 3600 seconds in 1 hour, we divide 3600 seconds by 3600:<br /> <br />\[ 3600 \ sec \ ÷ \ 3600 \ = \ 1 \ hr. \]<br /> <br />Therefore, 3600 seconds corresponds to 1 hour.<br /><br />2(i) Convert 336 hours into weeks:<br />1 week consists of 168 hours, so we divide 336 hours by 168:<br /><br />\[ 336 \ hr \ ÷ \ 168 \ = \ 2 \ weeks. \]<br /><br />Therefore, 336 hours equals 2 weeks.<br /><br />2(j) Convert 3 weeks into hours:<br />As there are 168 hours in a week, we multiply 3 weeks by 168 to find the hours:<br /><br />\[ 3 \ weeks \ × \ 168 \ = \ 504 \ hr. \]<br /><br />Therefore, 3 weeks corresponds to 504 hours.