P can do a piece of work in 20 days and Q can do the same piece of work in 60 days. They start working together and work for 5 days and then both leave the work. R alone ﬁnishes the remaining work in 10 days. In how many days will R alone ﬁnish the whole work?

10
16
15
20

LohaHridoy

7 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 3 : 15

Work done by P in 1 day = 1/20

Work done by Q in 1 day = 1/60

Work done P and Q in 1 day = 1/20 + 1/60 = 1/15

Work done by P and Q in 5 days = 5 ⨯ 1/15 = 1/3

∴ P and Q finished 1/3^rd of the work in 5 days.

R finished 2/3^rd of the work in 10 days

2/3 work = 10 days

1 work = 10 × (3/2) = 15 days

∴ R will finish the whole work in 15 days.

7 views Answered 2022-09-04 04:29

Related Questions

There are six persons namely A, B, C, D, E and F. They all take leave from office on any one day of the week starting from Monday to Saturday. Only one person takes leave on one day. C is the first person to take a leave. Three persons take leave between D and C. F takes leave just after D. E takes leave on Wednesday. B takes a leave after A. Who takes a leave on Thursday?

1 Answers 6 Views

Three friends Adam, Eve and Kane who are working together working at different speed where Adam being the slowest and Kane being the Fastest. When Adam and Eve work together they take x days to finish a task. When Eve and Kane work together they take y days to finish a task. One of them, if he worked alone would take thrice as much time as it would take when all three work together. How much time would it take if all three worked together?

1 Answers 5 Views

There are two person A and B.A alone can complete the whole work in x days and B alone can complete the whole work in y days. Working together they can complete the whole work in 12 day. Which of the following statements is/are true regarding x and y A) 20 days and 30 days B) 25 days and 300/13 days C) 32 days and 96/5 days D) 40 days and 10 days ?

1 Answers 4 Views

A and B together can do a piece of work in 16 days. A having worked for 8 days, B finishes the remaining work alone in 32 days. In how many days, shall B finish the whole work alone ?

1 Answers 5 Views

P can do a piece of work in 20 days and Q can do the same piece of work in 30 days. They start working together and work for 5 days and then both leave the work. R alone finishes the remaining work in 21 days. In how many days will R alone finish the whole work?

1 Answers 11 Views

A can do a piece of work in 30 days and B can do the same piece of work in 20 days. They start working together and work for 4 days and then both leave the work. C alone ﬁnishes the remaining work in 18 days. In how many days will C alone ﬁnish the whole work?

1 Answers 5 Views

A can do a piece of work in 20 days and B can do the same piece of work in 30 days. They start working together and work for 5 days and then both leave the work. C alone finishes the remaining work in 14 days. In how many days will C alone finish the whole work?

1 Answers 9 Views

When they work alone, B needs 25% more time to finish a job than A does. They two finish the job in 13 days in the following manner: A works alone till half the job is done, then A and B work together for four days, and finally B works alone to complete the remaining 5% of the job. In how many days can B alone finish the entire job?

1 Answers 4 Views

Select the correct alternative from the given choices. A, B and C can finish certain piece of work in 12 days, 15 days and 20 days respectively. A started working and is assisted by B and C on alternative days. This way, A, B and C finishes 85% of the total work. The remaining work is finished by D and the total number of days taken to finish the work is 9 days. Find the number of days C and D will take to finish half of this work when C works at 75% of his efficiency?

1 Answers 5 Views

A can finish a work in half the time taken by B to finish the work. The time taken by C to finish the work is equal to the total time taken by A and B together to finish the work. What is the ratio of the time taken to finish the work when A, B and C work together to that of the time taken by A working alone?

1 Answers 5 Views

এক্সাম দিয়ে মেধা যাচাই করুন

Job Preparation (1125)

Admission (754)

এসএসসি (10)

এইচএসসি (5)