TIME AND WORK
Choose the correct answer from the following
1. A can do a piece of work in 10 days and B can do it in 15 days. How long would they take to do it working together?
a. 6 days
b. 8 days
c. 12 days
d. 15 days
e. None of these
2. A can copy 75 pages in 24 hours, A and B together can copy 135 pages in 27 hours. In what time can B copy 42 pages
a. 25 hours
b. 19 hours
c. 21 hours
d. 31 hours
e. None of these
3. In a camp there is provision for 1600 participants for 60 days. Actually 1200 participate. How many days will the provision last for?
a. 60 days
b. 70 days
c. 75 days
d. 80 days
e. None of these
4. A can do a piece of work in 6⅔ days and B in 5 days. They work together for 2 days and then A leaves B to finish the work alone. How long will B take to finish it?
a. 1½ days
b. 2½ days
c. 4 days
d. 14 days
e. None of these
5. If 4 men or 7 boys can do a work in 29 days, what time will 12 men and 8 boys take to do the same work?
a. 6 days
b. 7 days
c. 8 days
d. 10 days
e. none
6. P and Q together can do a piece of work in 10 days. Q and R in 12 days, R and P in 15 days. How long will they take to do it separately?
a. 22 days, 18 days, 41⅙ days
b. 24 days, 17⅟7 days, 40 days
c. 18⅛ days, 24 days, 44 days
d. None of these
7. Ram does 50% more work than Shyam. If shyam does a piece of work in 12 days, what time will be taken by ram to do it alone?
a. 9 days
b. 6 days
c. 8 days
d. 10 days
e. none
8. 5 men and 7 boys can do a piece of work in 24 days. working 10 hours a day and 3 men can do as much work as 5 boys. In how many days will 9 men and 8 boys working 10 hours a day finish the same work?
a. 10 days
b. 26 days
c. 14 days
d. 16 days
e. none
9. If 60 men can build 4 houses in 12 months, how many men would be required to build 6 such houses in 4 months?
a. 120 men
b. 230 men
c. 270 men
d. 300 men
e. none
10. A cistern is filled in 9 hours, but takes one hour more to be filled owing to a leak in it. If the cistern is full, in what time will the leak empty it?
a. 30 hours
b. 90 hours
c. 45 hours
d. 60 hours
e. none
11. Three persons A,B,C can finish a piece of work in 60 days, 50 days, and 40 days respectively. All the three combine to finish the work contracted for Rs 2220. How much will A get?
a. Rs 960
b. Rs 850
c. Rs 600
d. Rs 360
e. None
12. Dolly and Bobby working separately can finish a job in 8 and 12 hours respectively. If they work for an hour alternately, Dolly beginning the job at 9 am, when will the job be finished?
a. 12 Noon
b. 8 PM
c. 5.30 PM
d. 6.30 PM
e. none
13. Three girls Ella, Malti and Isha finished certain work. Ella worked at it for 5 days, Malti for 7 dyas and Isha for 9 days. Their daily wages were in the ratio 4:3:2 and their total earnings amounted 118. What were the daily wages of each?
a. Rs 10, Rs 7½, Rs 5
b. Rs 4, Rs 3, Rs 2
c. Rs 8, Rs 6, Rs 4
d. Rs 12, Rs 9, Rs 6
e. none
14. A man and a boy are engaged to dig a trench which the man by himself can finish in 10 days and the boy in 20 days. Supposing they begin at the opposite ends, find when they should exchange their places so as to meet exactly in the middle?
a. 5½ days
b. 3⅓ days
c. 7½ days
d. 15 days
e. none
15. A contractor undertakes to dig a canal 12 km long in 350 days and employs 45 men. He finds after 200 days of working that only 4½ kms of canal have been completed. How many extra men must be employed to finish the work in time?
a. 65
b. 40
c. 55
d. 50
e. none
ANSWERS
1. A
2. C
3. D
4. A
5. B
6. B
7. C
8. D
9. C
10. B
11. C
12. D
13. C
14. B
15. CNext- Time and Distance
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