Question

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?

pls help me out
I want step by step explanation ...​

Answer 1

1) 14 cup boards

2) 365 days or 56 weeks

Answer 2

Step-by-step explanation:

1.no of cupboards 4 men can make in 4 days= 4

no of cupboards 4 men can make in one day = 1

no of cupboards 1 man can make in 1 day = 1/4

no of cupboards 14 men can make in 14 days = 1/4*14*14= 49

So, 49 cupboards can be made in 14 days

2. cost of keeping 50 students for 8 weeks= 1800

cost of keeping 1 student for 8 weeks = 1800/50

cost of keeping 1 student for 1 week = 1800/50*8

cost of keeping 90 students for 1 week = 1800*90/50*8

cost of keeping 90 students for x weeks= 1800*90*x/50*8

21060= 1800*90*x/50*8

21060*50*8/1800*90= x

8424000/162000=x

52 weeks = x

So, it will take 52 weeks for the amount to reach 21060 for 90 students

3. no of days it will take for 39 people to complete work doing it 5 hours everyday= 12

Total working hours = 39*5*12=2340

total time of work for 1 person working 6 hours a day = 2340/6= 390

total working time for 30 people working six hours a day = 390/30= 13 days

So, it will take 13 days for 30 people to complete a piece of work working 6 hours a day