Time and Work MCQs
A and B together can finish a job in 8 days, B and C in 12 days, and A, B and C together in 6 days. How long will A and C together take?
- A. 4 days
- B. 6 days
- C. 8 days
- D. 12 days
A alone can do a work in the same time as B and C together. If A and B together take 10 days, and C alone takes 50 days, how many days will B alone take?
- A. 15 days
- B. 20 days
- C. 25 days
- D. 30 days
A and B can do a job in 15 and 10 days respectively. They start together but B leaves after 2 days. A alone finishes the rest. In how many days in total is the work completed?
- A. 8 days
- B. 10 days
- C. 12 days
- D. 15 days
A and B together do a job in 72 days, B and C in 120 days, and A and C in 90 days. How long would A alone take?
- A. 80 days
- B. 100 days
- C. 120 days
- D. 150 days
Twenty women do a job in 16 days; sixteen men do it in 15 days. What is the ratio of one man's work to one woman's?
- A. 3:4
- B. 4:3
- C. 5:3
- D. Data inadequate
X and Y take 20 and 12 days respectively. X works alone for 4 days then Y joins. How many days in total?
- A. 6 days
- B. 10 days
- C. 15 days
- D. 20 days
A and B together finish a task in 1.2 days. A alone takes 20 days. If B works only half a day each day, how many days will they take?
- A. 10 days
- B. 11 days
- C. 15 days
- D. 20 days
A, B and C can do work in 20, 30 and 60 days respectively. If B and C assist A every third day, how many days to finish?
- A. 12 days
- B. 15 days
- C. 16 days
- D. 18 days
A+B take 6 days, B+C 12 days, A+C 8 days. If all three work together, how many days to finish?
- A. 4⅔ days
- B. 4 days
- C. 5⅓ days
- D. 1⅓ days
B is three times as fast as A. Together they finish a job in 1 day. How long would B alone take?
- A. 32 hours
- B. 48 hours
- C. 3 days
- D. 4 days
4 men and 2 women finish work in 2 days. 2 men alone take 5 days. How many days for 2 women alone?
- A. 15 days
- B. 10 days
- C. 8 days
- D. 20 days
A and B take 9 and 12 days separately. They work alternately one day each, A starting. How long to finish?
- A. 42/4 days
- B. 41/4 days
- C. 55 days
- D. None of these
Two fill pipes take 10h and 12h; a drain empties in 20h. All three open together, how long to fill?
- A. 7.5 hrs
- B. 5 hrs
- C. 7 hrs
- D. None of these
Two fill pipes together fill in 6h; one pipe is 5h faster than the other. How long for the slower?
- A. 5 hrs
- B. 10 hrs
- C. 15 hrs
- D. 20 hrs
A can do work in 6 days, B in 8 days. They finish with C’s help in 3 days. What is C’s share of the total wages of Rs. 3200?
- A. Rs. 380
- B. Rs. 600
- C. Rs. 420
- D. Rs. 400
A completes in 12 days at 8h/day; B in 8 days at 10h/day. Together at 8h/day, how many days?
- A. 5 5/11 days
- B. 4 5/11 days
- C. 6 4/11 days
- D. 6 5/11 days
P+Q=30 days, Q+R=24, R+P=20. They all start; Q and R leave after 10 days. How many more days will P need?
- A. 10
- B. 8
- C. 18
- D. 19
X+Y=10 days, Y+Z=16, X+Z=22. How many days for each alone?
- A. 120, 40, 60 days
- B. 120, 60, 80 days
- C. 40, 30, 120 days
- D. 30, 40, 60 days
A and B together finish in 20 days, B and C in 30 days, C and A in 40 days. How long for A alone?
- A. 48
- B. 34⅖
- C. 44
- D. 45
Bilal takes 15 days and Jalal 12 days. After 4 days of working together, what fraction remains?
- A. 3/5
- B. 4/7
- C. 2/5
- D. 1/4
2 men & 12 women finish in 4 days; 4 men & 6 women in 5 days. Find days for 1 man & 1 woman.
- A. 30 days
- B. 25 days
- C. 24 days
- D. 20 days
A alone in 10 days, B alone in 15 days. Sharing ₹75 wage, what does A get?
- A. ₹35
- B. ₹40
- C. ₹45
- D. None of these
P, Q & R pipes fill in 20, 15 & 12 min. together how long?
- A. 5 min
- B. 10 min
- C. 15 min
- D. 20 min
Two fill taps 12 & 15 min; outlet open too, fill in 20 min. How long to empty full tank?
- A. 10 min
- B. 20 min
- C. 30 min
- D. 40 min
6 men & 8 women finish in 10 days; 26 men & 48 women in 2 days. How many days for 15 men & 20 women?
- A. 4 days
- B. 6 days
- C. 2 days
- D. 8 days
P is 30% more efficient than Q. P alone takes 23 days. Together, how many days?
- A. 9
- B. 11
- C. 23
- D. 13
P works twice as fast as Q. Q alone takes 12 days. Together, how many days?
- A. 1
- B. 2
- C. 3
- D. 4
6 men do 50 tasks in 4h. How many tasks can 10 men do in 6h?
- A. 20
- B. 25
- C. 125
- D. 60
A (8d), B (14d), C (16d). A works 2d, B then completes 2/3 of remaining, C finishes rest. How many days?
- A. 13
- B. 11
- C. 12
- D. 15
A and B in 21 & 24 days start together; after A leaves B needs 9 more days. After how many days did A leave?
- A. 5
- B. 6
- C. 7
- D. 8
A in 30 days, B in 40 days separately. Together, how many days?
- A. 70 days
- B. 120/7 days
- C. 50 days
- D. 45 days
A in 12 days; B is 60% more efficient. How many days for B?
- A. 12/6 days
- B. 15/2 days
- C. 23 days
- D. 34 days
P & Q fill cistern in 12 & 16 min. together, then Q closed. After how many minutes must Q be closed to fill in 9 min?
- A. 2 min
- B. 3 min
- C. 4 min
- D. 5 min
P, Q & R take 24, 6 & 12 days. Working together, how many days?
- A. 2
- B. 3⅗
- C. 4¼
- D. 5
20 women finish in 16 days; 16 men in 15 days. Ratio of man to woman capacity?
- A. 1:3
- B. 4:3
- C. 2:3
- D. 2:1
10 bulls plough 20 fields in 3 days of 10h. In how many days will 30 bulls plough 32 fields in 8h days?
- A. 2
- B. 8
- C. 10
- D. 12
A lays track in 16 days, B in 12 days. With C they finish in 4 days. How long for C alone?
- A. 4
- B. 9.6
- C. 9
- D. 10
12 men in 20 days; 20 women in 16 days. Ratio man to woman capacity?
- A. 3:4
- B. 5:4
- C. 4:3
- D. 5:3
A and B do a job in 12 days; B and C in 15; C and A in 20. How long for A alone?
- A. 20 days
- B. 30 days
- C. 40 days
- D. None of these
A tap fills in 32 min and another empties in 16. If cistern is half-full and both opened, how long to fill?
- A. 12 min
- B. 14 min
- C. 16 min
- D. 20 min
Leak empties full tank in 6h; inlet fills at 4 L/min. When tank is full inlet opens and empties in 8h. What is capacity?
- A. 5750 L
- B. 5760 L
- C. 6890 L
- D. None of these
P alone does in same time as Q+R. P+Q in 10 days, R in 50 days. How many days for Q alone?
- A. 30 days
- B. 25 days
- C. 20 days
- D. 15 days
10 men take 7 days; 10 women take 14 days. How many days for 5 men and 10 women?
- A. 7
- B. 5
- C. 6
- D. 4