A can finish finish the work in 16 days and B can finish a piece of work in 12 days a started the work and work at it for 2 days he was then joined by b find the total number of time taken to finish the work

Open in App

Solution

A finishes the work in 16 days.

A finishes 1/16 of the work in one day.

A had worked for two days= 21/16 = 1/8

the work left after A has worked for two days = 1- 1/8 = 7/8

B finihses the work in 12 days

in 1 day B finishes 1/12 of the work.

A and B togeher in one day can finish= 1/16+1/12 = (3+4)/48= 7/48 of work

A and B together can complete the remaining work= (7/8) / (7/48)= 748/8*7 = 6 days.

therefore total time taken = 2 days by A alone + 6 days by both Aand B = 8 days

Suggest Corrections

Similar questions

A

and

B

can finish a piece of work in

16

days and

12

days respectively. A started the work and worked at it for

2

days. He was then joined by B. Find the total time taken to finish the work.

Q. A can finish the work in 16 days while B can finish the work in 8 days. After A started the work alone, B joined him after 4 days. Find out the total time taken to finish the work.

Q. A takes 10 days than the time taken by B to finish a piece of work. If both A and B together can finish the work in 12 days, find the time taken by B to finish the work.

A takes 6 days less than the time taken by B to finish a piece of work. If both A and B together can finish it in 4 days, find the time taken by B alone to finish the work.

A

and

B

can do a piece of work in

15

days and

18

days respectively. A worked at it for

10

days and then

B

finished the remaining work. Find the time taken by

B

to finish the remaining work.

Join BYJU'S Learning Program