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Back to AQA Direct & Inverse Proportion (H) Home
​Proportion: Quiz 10 - Answers
​1)
a) 24 men-days
b) 3 days
 
2)
a) 30 machine-hours
b) 10 hours
 
3) 9 hours
 
4) Answer: 5 days
Assumption: all of the builders work at the same rate
 
5) 2 hours 24 minutes
 
6) 6 hours 40 minutes

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Questions
1) It takes 4 men 6 days to build a wall. Assume that everyone builds the wall at the same rate.
a) How many men-days does it take for the wall to be built?
b) How many days would it take 8 men to build the wall?
 
2) It takes 6 machines 5 hours to complete a task. Assume that all of the machines work at the same rate.
a) How many machine-hours does it take to finish the task?
b) How many hours would it take for 3 machines to complete the task?
 
3) It takes 12 machines 6 hours to complete a task. Assuming that all of the machines work at the same rate, how many hours would it take for 8 machines to complete the task?
 
4) It takes 15 builders 6 days to build a prefabricated home. Estimate how long it would take 18 builders to build the prefabricated home and state an assumption that you have made.
 
5) It takes 4 people 3 hours to decorate a room. Assume that everyone works at the same rate.
a) How long would it take one of these people to decorate the room?
b) How long would it take 5 people to decorate the room? Give your answer in hours and minutes?
 
6) It takes 4 printers 5 hours to print off a certain number of photos. Assuming that all of the printers print at the same rate, how long would it take 3 printers to print off all of the photos? Give your answer in hours and minutes.
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