Question

A can finish a piece of work in 5 days. B can do it in 10 days. They work together for two days and then a goes away. In how many days will b finish the work

Answer 1

Answer:

4 days will b finish the worj

Answer 2

Answer:

In 4 days b will finish the work.

Step-by-step explanation:

A can do the work in 5 days, B can do the work in 10 days.

so, the total amount of units of work they need to do is the Lcm of (5,10).

so, Lcm(5,10)=10units.

A can do the 10 units of work in 5 days.so, in 1 day A can do (10/5)=>2 units of work.so,A=2

Similarly, B can do the 10 units of work in 10 days.so, in 1 day B can do (10/10)=>1 units of work.so,B=2

and, A and B worked for 2 days (so,2A+2B) and after 2 days A left, the remaining work was done by B in x days (so,xB).

so, 2A+2B+xB=10,

=>2(2)+(2+x)1=10

=>x=4

So, in 4 days b will finish the work.