Question

The Karim Family are going to Manchester by train for the weekend.Here is part of the timetable.Preston: 1710- 1747- 1808- 1845- 1919- 1945- 1949Buckshaw Parkway: 1717- blank- 1815- blank- 1917- blank- 1959Bolton: 1735- 1808- 1835- blank- 1935- blank- 2025Manchester:1756- 1827- 1856- 1929- 1957- 2027- 2047.They want to leave Buckshaw Parkway after 6pm.They want to arrive in Manchester before 8pm.(a) What time should the Karim Family get the train at Buckshaw Parkway?

Answer 1

Hello there. To solve this question, we'll have to analyze how many weeks there are in a year and determine if Clare will have to work 13 saturdays in a year.

For this, remember that some months have 5 weeks, in some sense, if we consider all the days of a week. But if we only consider a week if there is 7 days, then a month have 4 weeks.

A calendar year consists of 52 weeks (sometimes 53), but since Clare have to work 1 saturday every 4 months, we take the ratio:

`(52)/(4)=13`

Therefore Clare is right and she will have to work 13 saturdays in a year.

==

If Rose have 4.5kg of joint beef, then we convert to grams to find how many portions of 500g there are.

4.5 * 1000 = 4500g

Now, divide it by 500g

`(4500)/(500)=9\text{ portions}`

Therefore we multiply this number by 20 to find how many time she'll have to cook this piece of meat

`9\cdot20=180`

And we add 15 that is the time she have to wait for serving, thus

`195\min`

In hours, we get

`3\text{ hours, 15 minutes}`

If she want to serve it at 2 pm, the latest time she can start cooking the beef is:

10:45 AM