# Ram completes a work in 24 hours. Madhav does it in 36 hours

Ram completes a work in 24 hours. Madhav does it in 36 hours. If both work together, in how many hours will the complete the job?

- 14 hours and 24 minutes
- 18 hours and 30 minutes
- 24 hours and 48 minutes
- 30 hours

**Answer: (1) 14 hours and 24 minutes **

**Solution:-**

Ram can complete a work = 24 hours

Therefore, Ram can do same work in an hour = 1/24

Madhav can complete same work = 36 hours

Therefore, Madhav can do same work in an hour = 1/36

Then, Ram and Madhav both can do same work in an hour = 1/24 + 1/36

= (3 + 2)/72

= 5/72

So, Both together can complete the same work = 75/5

= 14 hour and 24 minutes.

Hence, the correct answer is option (1) 14 hours and 24 minutes.