Question

four people each working for five hours a day can do piece of work in six days how long will two people each working for seven hours a day to complete the work

Answer 1

we have that

four people, five hours a day, six days

that represents

each people works-----> 30 hours in six days (5*6)

each people can do ----> 25% of the work (100%/4)

Divide percentage by the number of hours

25/30=5/6 % by hour

that means

Each people can do (5/6)% by hour

two people working for seven hours a day--------> represents 14 hours a day

Multiply 14 hours by (5/6)

14*(5/6)=11.67%

that means

two people in one day can do 11.67% of the work

Applying proportion

1/11.67%=x/100%

solve for x

x=100/11.67

x=8.6 days------> Round up

the answer is 9 days