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Work Rate & Direct Proportion Worksheet (Long Questions with Solutions)
Work Rate & Direct Proportion
Long Questions Worksheet (Surgeons • Workers • Time • Work)
Instructions: Assume that all workers operate at a constant and equal rate unless stated otherwise.
Question 1
It takes 6 doctors 3 hours to examine 18 patients.
a) How many patients can 6 doctors examine in 5 hours?
b) How long will it take 9 doctors to examine 18 patients?
c) How many doctors are required to examine 30 patients in 4 hours?
Question 2
8 nurses take 5 hours to treat 40 patients.
a) How many patients can 8 nurses treat in 8 hours?
b) How many nurses are needed to treat 40 patients in 2 hours?
c) How long will it take 10 nurses to treat 60 patients?
Question 3
It takes 10 workers 6 hours to assemble 30 machines.
a) How many machines can 10 workers assemble in 9 hours?
b) How many workers are needed to assemble 30 machines in 4 hours?
c) How long will it take 15 workers to assemble 45 machines?
Question 4
4 technicians repair 16 computers in 8 hours.
a) How many computers can 4 technicians repair in 12 hours?
b) How long will it take 8 technicians to repair 16 computers?
c) How many technicians are required to repair 24 computers in 6 hours?
Question 5
It takes 12 painters 6 hours to paint 24 rooms.
a) How many rooms can 12 painters paint in 9 hours?
b) How long will it take 6 painters to paint 24 rooms?
c) How many painters are required to paint 36 rooms in 6 hours?
Question 6
5 mechanics service 25 cars in 10 hours.
a) How many cars can 5 mechanics service in 6 hours?
b) How long will it take 10 mechanics to service 25 cars?
c) How many mechanics are needed to service 40 cars in 8 hours?
Question 7
It takes 9 carpenters 4 hours to make 18 tables.
a) How many tables can 9 carpenters make in 10 hours?
b) How long will it take 6 carpenters to make 18 tables?
c) How many carpenters are required to make 30 tables in 5 hours?
Question 8
7 plumbers fix 21 pipes in 3 hours.
a) How many pipes can 7 plumbers fix in 6 hours?
b) How long will it take 14 plumbers to fix 21 pipes?
c) How many plumbers are needed to fix 35 pipes in 5 hours?
Question 9
It takes 16 workers 8 hours to pack 64 boxes.
a) How many boxes can 16 workers pack in 12 hours?
b) How long will it take 8 workers to pack 64 boxes?
c) How many workers are required to pack 96 boxes in 6 hours?
Question 10
3 surgeons take 6 hours to operate on 12 patients.
a) How many patients can 3 surgeons operate on in 10 hours?
b) How long will it take 6 surgeons to operate on 12 patients?
c) How many surgeons are needed to operate on 20 patients in 5 hours?
📘 View Complete Solutions
Q1: a) 30 patients b) 2 hours c) 5 doctors
Q2: a) 64 patients b) 20 nurses c) 6 hours
Q3: a) 45 machines b) 15 workers c) 6 hours
Q4: a) 24 computers b) 4 hours c) 8 technicians
Q5: a) 36 rooms b) 12 hours c) 18 painters
Q6: a) 15 cars b) 5 hours c) 6 mechanics
Q7: a) 45 tables b) 6 hours c) 12 carpenters
Q8: a) 42 pipes b) 1.5 hours c) 7 plumbers
Q9: a) 96 boxes b) 16 hours c) 32 workers
Q10: a) 20 patients b) 3 hours c) 4 surgeons