Question

Meghana alone would take 32 hours more to complete a job than both Meghana and Ganesh together. If Ganesh worked alone, he took 12 1/2 hours more to complete it than both Meghana and Ganesh worked together. What time would they take if both Meghana and Ganesh worked together?
A) 20 hrs
B) 18 hrs
C) 22 hrs
D) 20.5 hrs

Answer 1

Hey.


Here is the answer .


Time taken by both Meghana and Ganesh to work together will be given by =


$\sqrt{time1 \times time2}$


Where, time 1 is 32 hr

time 2 is 12.5 hr


Therefore, time taken by both working together


$= \: \sqrt{32 \times 12.5} \\ \\ = \: \sqrt{400} \\ \\ \: = \: 20 \: hr$


So, 20 hrs they take if both Meghana and Ganesh worked together.


Answer : (A)


Thanks

Answer 2

Heya....

====== Answer =====

Option A 20 hrs ....

Solution :-

Meghna and Ganesh will work together ......
= √time 1 X time 2

Time taken by Meghna is 32 hrs

Time taken by Ganesh is 12.5

So... √ 32 X 12.5

= √400 = 20

Thank you