Time and Work Problems (Difficult)

Try to solve the following time and work questions using time and work formula:
Q.1.In the beginning, Ram works at a rate such that he can finish a piece of work in 24 hrs, but he only works at this rate for 16 hrs. After that, he works at a rate such that he can do the whole work in 18 hrs. If Ram is to finish this work at a stretch, how many hours will he take to finish this work?
a) 12 hrs
b) 18 hrs
c) 11½ hrs
d) 15 hrs
e) 22 hrs
Q.2. A can do a piece of work in 10 days, and B can do the same work in 20 days. With the help of C, they finished the work in 4 days. C can do the work in how many days, working alone?
1. 5 days
2. 10 days
3. 15 days
4. 20 days
5. 25 days
Q.3. A can do a piece of work in 12 days. B can do this work in 16 days. A started the work alone. After how many days should B join him, so that the work is finished in 9 days?
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1. 2 days
2. 3 days
3. 4 days
4. 5 days
5. 1 days
Q.4.A and B can do a piece of work in 4 days, while C and D can do the same work in 12 days. In how many days will A, B, C and D do it together?
1. 12 days
2. 4 days
3. 3 days
4. 2 days
5. None of these
Q.5.A and B can do a piece of work in 40 days, B and C can do it in 120 days. If B alone can do it in 180 days, in how many days will A and C do it together?
1. 45 days
2. 22.5 days
3. 25 days
4. 18 days
5. 12 days
Q.6.A, B, C, and D can do a piece of work in 20 days. If A and B can do it together in 50 days, and C alone in 60 days, find the time in which D alone can do it.
1. 120 days
2. 200 days
3. 150 days
4. 90 days
5. 75 days
Q7.A, B, and C can do a piece of work in 8 days. B and C together do it in 24 days. B alone can do it in 40 days. In what time will it be done by C working alone?
1. 25 days
2. 24 days
3. 60 days
4. 20 days
5. 30 days
Q8.A and B undertake to do a piece of work for Rs. 450. A can do it in 20 days and B can do it in 40 days. With the help of C, they finish it in 8 days. How much should C be paid for his contribution?
1. Rs. 180
2. Rs. 40
3. Rs. 120
4. Rs. 60
5. Rs. 50
Q9.Daku and Tamatar can do a piece of work in 70 and 60 days respectively. They began the work together, but Daku leaves after some days and Tamatar finished the remaining work in 47 days. After how many days did Daku leave?
1. 14 days
2. 16 days
3. 18 days
4. 10 days
5. 7 days
Q10.Ajay and Vijay undertake to do a piece of work for Rs. 480. Ajay alone can do it in 75 days while Vijay alone can do it in 40 days. With the help of Pradeep, they finish the work in 25 days. How much should Pradeep get for his work?
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1. Rs. 40
2. Rs. 20
3. Rs. 360
4. Rs. 100
5. Rs. 60
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