Aptitude - Time and Work
6.
Ram and Shyam together can finish a job in 8 days. Ram can do the same job on his own in 12 days. How long will Shyam take to do the job by himself ?
Answer
(Ram + Shyam)'s 1 day's work = 18
Ram's 1 day's work = 112
Shyam's 1 day's work =
18 − 112 
= 124
∴ Shyam alone can finish the work in 24 days.
Answer :
Option CExplanation :
(Ram + Shyam)'s 1 day's work = 18
Ram's 1 day's work = 112
Shyam's 1 day's work =
18 − 112 = 124∴ Shyam alone can finish the work in 24 days.
7.
A certain number of men complete a piece of work in 60 days. If tehre were 8 men more, the work could be finished in 10 days less. How many men were originally there ?
Answer
Let there be x men originally.
x men finish the work in 60 days and (x + 8) finish it in 50 days.
x men finish the job in 60 days
⇒ 1 man can finish it in 60x days
(x + 8) men finish the job in 50 days
⇒ 1 man can finish it in 50(x + 8) days
∴ 60x = 50(x + 8) ⇒ 10x = 400 ⇒ x = 40
Hence, there were 40 men originally.
Answer :
Option BExplanation :
Let there be x men originally.
x men finish the work in 60 days and (x + 8) finish it in 50 days.
x men finish the job in 60 days
⇒ 1 man can finish it in 60x days
(x + 8) men finish the job in 50 days
⇒ 1 man can finish it in 50(x + 8) days
∴ 60x = 50(x + 8) ⇒ 10x = 400 ⇒ x = 40
Hence, there were 40 men originally.
8.
A works twice as fast as B. If both of them can together finish a piece of work in 12 days, then B alone can do it in
Answer
Let B's 1 day's work = x. Then, A's 1 day's work = 2x
x + 2x = 112 ⇒ 3x = 112 ⇒ x = 136
B's 1 day's work = 136
Hence, B can finish the work in 36 days.
Answer :
Option CExplanation :
Let B's 1 day's work = x. Then, A's 1 day's work = 2x
x + 2x = 112 ⇒ 3x = 112 ⇒ x = 136
B's 1 day's work = 136
Hence, B can finish the work in 36 days.
9.
A alone can finish a work in 10 days which B alone can finish in 15 days. If they work together and finish it, then out of total wages of Rs. 3000, A will get :
Answer
A's 1 day's work = 110
B's 1 day's work = 115
Ratio of wages of A and B = 110 : 115 = 3 : 2
A's share = Rs.3000 x 35 = Rs. 1800
Answer :
Option CExplanation :
A's 1 day's work = 110
B's 1 day's work = 115
Ratio of wages of A and B = 110 : 115 = 3 : 2
A's share = Rs.
3000 x 35 = Rs. 1800 10.
A can do a piece of work in 20 days which B can do in 12 days. B worked at it for 9 days. A can finish the remaining work in :
Answer
B's 9 day's work = 112 x 9 = 34
Remaining Work = 1 − 34 = 14
120 work is finished by A in 1 day
14 work is finished by A in 20 x 14 days = 5 days
Answer :
Option BExplanation :
B's 9 day's work =
112 x 9 = 34Remaining Work =
1 − 34 = 14120 work is finished by A in 1 day
14 work is finished by A in
20 x 14 days = 5 days Jump to page number :