J can dig a well in 16 days. P can dig a well in 24 days. J, P, H dig in 8 days. In how many days can H alone can dig the well?
A)
32
B)
48
C)
96
D)
24
Correct Option - B
Explanation
(1/16)+(1/24)+(1/H) = 1/8
1/H = 1/48
H can dig the well in 48 days.
David and Michael charged Mr. Jimenez $3,000 to remodel his basement. To complete the project, David worked 4 days alone, Michael worked 1 day alone, and they worked 10 days together. If they each received the same amount of money for each day that they worked, how much of the $3,000 did David receive?
A)
$1,800
B)
$1,750
C)
$1,680
D)
$1,575
Correct Option - C
Explanation
David worked for 14 days and Michael worked for 11 days.
Amount received by David
= (14/25)*3000
= $ 1680
B alone can do piece of work in 10 days. A alone can do it in 15 days. If the total wages for the work is Rs 5000, how much should B be paid if they work together for the entire duration of the work?
A)
Rs.2000
B)
Rs.2400
C)
Rs.3000
D)
Rs.3200
Correct Option - C
Explanation
Ratio of the time taken by A and B
= 15:10 = 3:2
Time and work are inversely proportional.
Ratio of the work done by A and B
= 2:3
Amount to be paid to B
= (3/5)*5000
= Rs.3000
A father is 5 times faster than the son. The father completes a work 40 days before the son. If both of them work together, when will the work be completed?
A)
8 days
B)
8 (1/3) days
C)
10 days
D)
20 days
Correct Option - B
Explanation
Time taken is inversely proportional to efficiency.
Since the father is 5 times faster than the son, the time taken by the father and son to complete the work will be in the ratio 1:5.
Let the no. of days be x and 5x.
The father takes 40 days less.
5x-x=40
x=10
If both of them work together,
(10*50)/(10+50)
= 500/60
= 8 1/3 day
A man was engaged on a job for 30 days on the condition that he would get a wage of Rs.10 for the day he works, but he have to pay a fine of Rs.2 for each day of his absence. If he gets Rs.216 at the end, he was absent for work for ____ days.
A)
7
B)
8
C)
9
D)
10
Correct Option - A
Explanation
Let x be the no. of days he was absent.
10(30-x) - 2x = 216
300-10x-2x=216
12x=84
x=7
He was absent for 7 days.
If 28 men can finish a work in 15 days, 21 men can finish the same work in
A)
24 days
B)
14 days
C)
15 days
D)
20 days
Correct Option - D
Explanation
Time and Men are inversely proportional.
Time taken by 28 men to finish the work
= 15 days
Time taken by a man to finish the work
= 15*28 days
Time taken by 21 men
= (15*28)/21
= 20 days
A completes 40% of a work in 8 days. If B is 60% as efficient as A, find the time taken by complete the rest of the work.
A)
20 days
B)
18 days
C)
30 days
D)
24 days
Correct Option - A
Explanation
Time taken by A to complete 60% of the work
= 8*60/40
= 12 days
B is 60% as efficient as A
Time taken by B to complete 60% of the work
= 12*100/60
= 20 days