Question
Work out the number of minutes from 18:27 on Tuesday to 03:19 on Wednesday.
▶️Answer/Explanation
To calculate the number of minutes from 18:27 on Tuesday to 03:19 on Wednesday, we need to consider the time elapsed within each day.
From 18:27 to 23:59 on Tuesday:
There are 60 minutes in an hour, so the number of minutes remaining in the day is:
\(60 \times (23 – 18) + (59 – 27) = 335\) minutes.
From 00:00 to 03:19 on Wednesday:
We need to add the minutes from the start of Wednesday until 03:19, which is:
\(3 \times 60 + 19 = 199\) minutes.
Total number of minutes:
The total minutes elapsed between the two times is the sum of the minutes calculated in step 1 and step 2:
\(335 + 199 = 534\) minutes.
Therefore, there are 534 minutes from 18:27 on Tuesday to 03:19 on Wednesday.
Question
Pedro and Eva do their homework.
Pedro takes 84 minutes to do his homework.
The ratio Pedro’s time : Eva’s time = 7 : 6.
Work out the number of minutes Eva takes to do her homework.
▶️Answer/Explanation
The ratio of Pedro’s time to Eva’s time is given as 7:6. Since Pedro takes 84 minutes to do his homework, we can set up the proportion:
\(\frac{{\text{{Pedro’s time}}}}{{\text{{Eva’s time}}}}} = \frac{7}{6}\)
Let’s solve for Eva’s time:
\(\frac{{84}}{{\text{{Eva’s time}}}}} = \frac{7}{6}\)
\(84 \times 6 = 7 \times \text{{Eva’s time}}\)
\(504 = 7 \times \text{{Eva’s time}}\)
Now, let’s solve for Eva’s time:
\(\text{{Eva’s time}} = \frac{504}{7}\)
\(\text{{Eva’s time}} = 72\)
Therefore, Eva takes 72 minutes to do her homework.
Question
A bus company in Dubai has the following operating times.
(a) Calculate the total number of hours that the bus company operates in one week.
(b) Write the starting time on Friday in the 12-hour clock.
▶️Answer/Explanation
(a) To calculate the total number of hours that the bus company operates in one week, we can sum up the operating hours for each day of the week:
Total operating hours = 18 + 18 + 18 + 18 + 18 + 18 + 11 = 119 hours
Therefore, the bus company operates for a total of 119 hours in one week.
(b) The starting time on Friday is 13:00, which is expressed in the 24-hour clock. To convert it to the 12-hour clock, we subtract 12 from 13:
13:00 – 12:00 = 1:00 PM
So, the starting time on Friday in the 12-hour clock is 1:00 PM.
Question
A train leaves Zurich at 2240 and arrives in Vienna at 07:32 the next day.
Work out the time taken.
………………… h ………………… min
▶️Answer/Explanation
To calculate the time taken for the train journey from Zurich to Vienna, we need to consider the time difference between the departure and arrival times.
Convert the departure time to minutes:
22:40 = \(22\times 60 + 40\) = 1360 minutes
Convert the arrival time to minutes:
07:32\( = 7\times 60 + 32 \)= 452 minutes
If we subtract the departure time from the arrival time, we get:
452 – 1360 = -908 minutes
Since the result is negative, it means that the arrival time is on the next day.
Add 24 hours (or 1440 minutes) to the negative result:
-908 + 1440 = 532 minutes
Therefore, the time taken for the train journey from Zurich to Vienna is 532 minutes, which is equivalent to 8 hours and 52 minutes.
Question
Find the number of minutes between 17:53 and 7:26 pm.
…………………….. min
▶️Answer/Explanation
To find the number of minutes between 17:53 and 7:26 pm, we need to calculate the time difference between these two times.
Convert 17:53 to minutes:
\(17\times 60 + 53 =\) 1073 minutes
Convert 7:26 pm to minutes:
\(19\times 60 + 26 = \)1166 minutes
The time difference:1166 – 1073 = 93 minutes
Therefore, the number of minutes between 17:53 and 7:26 pm is 93 minutes.