Question

P can do a piece of work in 5 days of 8 hours each and q can do in 4 days of 6 hours each. how long will they take do it working 5 hours a day?
a. 2 days
b. 3 days
c. 4 days
d. 5 days

Answer 1

b 3days............is the answer

Answer 2

Answer:

Option b - 3 days

Step-by-step explanation:

Given : P can do a piece of work in 5 days of 8 hours each and q can do in 4 days of 6 hours each.

To find : How long will they take do it working 5 hours a day?

Solution :

P can do a piece of work in 5 days and doing work 8 hours each day.

So, P takes $8\times 5=40$ hours.

q can do a piece of work in 4 days and doing work 6 hours each day.

So, q takes $4\times 6=24$ hours.

P and q can together do a work in $\frac{40\times 24}{40+24}=\frac{960}{64}=15$ hours.

They work together each day 15 hours.

So, days in working 5 hours a day is $\frac{15}{5}=3$

Therefore, 3 days long will they take do it working 5 hours a day.

So, The correct option is b.