time and work part 1 of 3

A man and woman working on alternate days can finish a work in 15 days if the man works on the first day. The same work is finished in 14.5 days if they work on alternate days and if the woman starts on the first day. The work will be finished by a man alone in ________ days.

• 25.0
• 21.0
• 15.0
• 22.0

Tags

CCSS.8.EE.C.7B

(N + 18) persons, each working for 7.5 hours a day, can complete 48% of a work in 20 days. (N + 12) persons can complete the remaining work in 30 days, if each of them works for 6.5 hours per day. Determine the value of N.

• 18.0
• 16.0
• 20.0
• 22.0

Tags

CCSS.8.EE.C.7B

A can complete a task in the same time in which B and C work together. If A and B could complete it jointly in 10 days and C alone in 50 days, then B could complete it independently in:

• 26.0
• 27.0
• 25.0
• 23.0

Tags

CCSS.HSA.CED.A.1

Raja and Rocky together can complete painting work in 5 days. Together they both start painting, but after 2 days, Rocky falls sick and leaves the work. If Raja completes the remaining painting in 4 days, find the number of days in which Rocky alone can do the work.

• 12.0
• 15.0
• 20.0
• 10.0

Tags

CCSS.HSA.CED.A.1

5 women and 9 girls earn a total of ₹18,720 in 9 days, while 9 women and 16 girls earn a total of ₹52,080 in 14 days. How much will 12 women and 7 girls together earn (in ₹) in 13 days?

• 42510.0
• 41990.0
• 42380.0
• 42120.0

Tags

CCSS.8.EE.C.8C

A alone can do 2/5 of a work in 12 days, B is 25 percent more efficient than A. C alone can do the same work in 12 days less than B. D is 25 percent less efficient than C. If they all work together, then the work will be completed in how many days?

• 240/53
• 180/43
• 200/51
• 300/47

Tags

CCSS.8.EE.C.7B

A is as efficient as B and C together. Working together A and B can complete a work in 36 days and C alone can complete it in 60 days. A and C work together for 10 days. B alone will complete the remaining work in:

• 110.0
• 88.0
• 84.0
• 90.0

Tags

CCSS.HSA.CED.A.1

4 men and 5 women can complete a work in 15 days, whereas 9 men and 6 women can do it in 10 days. To complete the same work in 7 days, how many women should assist 4 men?

• 11.0
• 14.0
• 12.0
• 13.0

Rs. 10,000 has to be distributed among 3 craftsmen, 5 helpers, and 6 labourers such that each helper receives the amount twice as much as a labourer receives and each craftsman receives the amount thrice as much as a labourer receives. What is the amount received by the three craftsmen?

• Rs. 2400
• Rs. 4000
• Rs. 3600
• Rs. 2700

Tags

CCSS.8.EE.C.7B

P and Q can do a work together in 30 days. Q and R can do the same work together in 24 days and R and P together in 20 days. They started the work together, but Q and R left after 10 days. How many more days will P take to finish the remaining work?

• 23.0
• 19.0
• 21.0
• 18.0

Tags

CCSS.HSA.CED.A.1