1. 4 men can make 4 cupboards in 4 days; how many cupboards can 14 men make in 14 days?
2. In a hostel it costs 1800 to keep 50 students for 8 weeks. For what length of time did the cost of keeping
90 students amount to * 21,060?
3. 39 persons can repair a road in 12 days working 5 hours per day. In how many days will 30 persons
working 6 hours per day complete the work?
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Answers
Answer:
1) Since 4 men can make 4 cupboards in 4 days, four men will be able to make 1 cupboard in 1 day. We can now say that one man will be able to make a quarter (i.e. 1/4) cupboard in one day.
Hence 14 men will be able to make 1/4 x We can safely say that 14 men will be able to make 1/4 x 14 x 14 cupboards in 14 days.
14 cupboards in 1 day.
Solving this we get 49.
So our answer is 49 cupboards.
2) The hostel cost for 50 children for 8
weeks = rs.1800.
The hostel cost for 1 child for 8 weeks
1800/50
The hostel cost for 1 child for 1 week =
1800/50 x 8
So, the hostel cost for 90 children for 1
week = (1800 x 90)/(50 x 8)
The cost of keeping 90 children for x
number of weeks = Rs. 21060
Thus,
(1800 x 90 x x)/(50 x 8) = 21060
= x = (21060 x 50 × 8)/(1800 x 90)
x= 8424000/162000
x = 52
So, the answer is 52 weeks.
3) 39 people can do work in 12 days for 5
hrs
1person can do work in( 39x12 ×5) days
for an hour
30 people can do work in {(39x12×5):30}
days 30 people can do work in 13 days for 6
hrs
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