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Dkumar

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1.If it takes 10 days to dig a trench 100 m long, 50 m broad and 10 m deep, what length of trench, 25m broad and 15 m deep can be dug in 30 days?

a 400m b 200m c 100m d 88(8/9)m

 

2.If 9 men working 15/2 hrs a day can finish a piece of work in 20 days, then how many days will be taken by 12 men, working 6 hrs a day to finish the work, it being given that 2 men of latter type work as much as 3 men of the former type?

1 19/2 b 11 c 25/2 d 13

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1)

Volume of trench dug per day = 100*500/10

=> Volume of trench dug in 30 days = 3*100*500

 

Length of trench = 3*100*500/(25*15) = 400 m

 

2)

Work = 9*r*(15/2)*20 = 12*r'*6*d, where r and r' are the respective rates of work

r' = (3/2)r

 

=> 9*15*10 = 6*3*6*d

=> d = 9*15*10/(6*3*6) = 25/2 days

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