A company has to make a large number of boxes - Edexcel - GCSE Maths - Question 10 - 2019 - Paper 3
Question 10
A company has to make a large number of boxes.
The company has 6 machines.
All the machines work at the same rate.
When all the machines are working, they can mak... show full transcript
Worked Solution & Example Answer:A company has to make a large number of boxes - Edexcel - GCSE Maths - Question 10 - 2019 - Paper 3
Step 1
Calculate total machine days for the first three days
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Answer
For the first three days, the machines working are as follows: 3 (day 1), 4 (day 2), and 5 (day 3).
Total machine days for the first three days is:
3+4+5=12
Step 2
Calculate total machine days for the remaining days
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Answer
There are a total of 9 days.
Remaining days after the first three days:
9−3=6extdays
For the remaining 6 days, all 6 machines are working daily, contributing:
6imes6=36extmachinedays
Step 3
Calculate total machine days
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Answer
The total machine days from both phases:
12+36=48extmachinedays
Step 4
Calculate total number of days needed
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Answer
If all machines are running for 9 days, they provide:
6imes9=54extmachinedays
Therefore, the total days taken to make the boxes is given by:
