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Person A can complete an assignment in 50 days. Person B can complete the same assignment in 76 days. What part of assignment will they complete 1 day separately?
165 and 176
150 and 176
150 and 165
145 and 176
According to the formula, if a person can do a piece of work in x days, then the work he can do in one day is 1x.
Person A can complete an assignment in 50 days
So, in 1 day Person A can do 150th part of the assignment
Similarly Person B can complete an assignment in 76 days
So, in 1 day Person A can do 176th part of the assignment
Hence option B is correct
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Work and Time
10 writers can write 20 books in 12 days working for 12 hours a day. Then in how many days can 24 writers write 32 books working for 16 hours a day?
According to the above given formula, If M1 persons can do W1 work in D1 days working T1 hours a day and M2 persons can do W2 work in D2 days working T2 hours a day then, M1D1T1W2= M2D2T2W1
M1=10, T1=12, M2=24, T2=16, W1=20, W2=32, D1=12, D2=?
10×12×12×32= 24×D2×16×20D2=10×12 ×12×3224×16×20 =122=6 days
Hence, 24 writers cab write 32 books in 6 days working for 16 hours a day
Person X can do a piece of work in 10 days. Person Y can do the same work in 12 days. How long will they take to finish the work, if they both work together?
According to the formula, If person P can do a work in x days and person Q can do the same work in y days then, one day work of P and Q together is xyx+y
Hence, is both of them work together, work will be completed in 5511days
Hence option A is correct
A alone can complete a work in 6 days. B alone can complete the same work in 12 days. How long will they take to finish the work, if they both work together?
[Bank clerks 2009]
so, 6×126+12=7218=4 days
Hence, is both of them work together, work will be completed in 4 days
A and B can do a piece of work in 72 days. B and C can do the same work in 120 days. A and C can do it in 90 days. In what time can A alone do it?
In the given problem in 1 day,
(A+B) can do 172 part of work
(B+C) can do 1120 part of work
(C+A) can do 190 part of work,
So, in one day, 2(A+B+C) can do,
1 day work of A=[1 day work of (A+B+C)]-[1 day work of (B+C)]
Hence, A alone can finish te work in 120 days
Hence option C is correct
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