Time and Work Questions and Answers
Choose the correct option.
If A alone can do a piece of work in 8 days and B alone can do the same work in 12 days. How many days A and B required to finish the same work if they work togather?
Answer: Option A
A alone one day work = 1/8
B alone one day work = 1/12
Both A and B one day work = (1/8 + 1/12) = (3/24 + 2/24)
so A and B together finish the work in 24/5 day
or 4 4/5 days.
Choose the correct option.
A can finish a piece work in 18 days and B can do the same work in half the time taken by A. So if they working together, what part of the same work can finished in a day?
Answer: Option B
First find the 1 day work of both (A & B)
A's 1 day's work = 1/18
B's 1 day's work = 1/9 (B can do work in half time)
(A + B)'s 1 day's work = (1/18+1/9)
= (1+2)/18 = 3/18 = 1/6
so A & B together can do 1/6 of work in 1 day.
Choose the correct option.
X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last ?
Answer: Option B
X one day work = 1/20
y one day work = 1/12
work done by x in 4 days = 4 * 1/20 = 1/5
left work = (1-1/5) = 4/5
x and y one day work = (1/20 + 1/12) = 8/60 = 2/15
=> time required to do 2/15 part of work by x and y = 1 day
so for whole work = 1/(2/15) = 15/2
so for 4/5 part of work x and y will take =( 4/5*15/2 ) = 6 days.
=> How long did the work last = 4 day + 6 day = 10 days.
Choose the correct option.
A computer printer produced 176,400 lines in a given day. If the printer was in operation for seven hours during the day, how many lines did it print per minute?
Answer: Option D
For 24hrs, 176400
For one hr,176400/24=7350 lines
For 7 hrs,7350*7=51450
for one min,51450/(7*60)=122.5
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