Worker A takes 8 hours to do a job. Worker B takes 10 hours to do the same job. How long should it take both A and B, working together but independently, to do the same job?

40/9 hrs

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

4 hrs

No worries! We‘ve got your back. Try BYJU‘S free classes today!

50/9 hrs

No worries! We‘ve got your back. Try BYJU‘S free classes today!

60/9 hrs

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
40/9 hrs

A’s 1 hour’s work = $\frac{1}{8}$

B’s 1 hour’s work = $\frac{1}{10}$

(A+B)’s 1 hour’s work = $(\frac{1}{8} + \frac{1}{10}) = \frac{9}{40}$

∴ Both A and B together will finish the work in $\frac{40}{9} h o u r s .$

Suggest Corrections

Similar questions

Worker A takes 8 hours to do a job. Worker B takes 10 hours to do the same job. How long should it take both A and B, working together but independently, to do the same job?

Q. Two workers A and B are engaged to do a piece of work. Working alone. A takes 8 hours more to complete the work then if both worked together. On the other hand, working alone, B would need

4 \frac{1}{2}

hours more to complete the work then if both worked together. How much time would they take to complete the job working together ?

Q. Ratan takes 5 days to complete a certain job and shankar takes 8 days to do the same job. If both of them work together, how long will they take to complete the work ?

Q. A can do 40% of a job in 12 hours. B is 16.67% more efficient than A. C is 28.57% less efficient than B. How long would the three of them take to do the job together?

Q. A man can do a job in

h

hours alone and his son can do it in

2 h

hours alone. Together, how many hours will it take them to do the job?

Join BYJU'S Learning Program

Worker A takes 8 hours to do a job. Worker B takes 10 hours to do the same job. How long should it take both A and B, working together but independently, to do the same job?

The correct option is A 40/9 hrs A’s 1 hour’s work = 18 B’s 1 hour’s work = 110 (A+B)’s 1 hour’s work = (18+110)=940 ∴ Both A and B together will finish the work in 409hours.

The correct option is A
40/9 hrs

A’s 1 hour’s work = $\frac{1}{8}$

B’s 1 hour’s work = $\frac{1}{10}$

(A+B)’s 1 hour’s work = $(\frac{1}{8} + \frac{1}{10}) = \frac{9}{40}$

∴ Both A and B together will finish the work in $\frac{40}{9} h o u r s .$