Correct Answer - Option 2 : 14
Given :
Abhaya takes 6 hrs to build a doll house and Vinay takes 8 hrs to do the same.
Concept used :
Total time taken to complete work = Total work/Work per unit time
Calculations :
Total work = LCM of 6 and 8 = 24 units
Work per hour by Abhaya = 24/6 = 4 units
Work per hour by Vinay = 24/8 = 3 units
Their total work together = 4 + 3 = 7 units
Time taken by them to complete the work(to build a doll house) = 24/7 hours
Total houses constructed in 48 hours = (48)/24/7
⇒ 14 houses
∴ Option 2 will be the correct choice.