Question

10 masons can build a wall working 7 hours a day in 12 days, in how many days can the work be completed by 14 persons working 8 hours a day?

Answer 1

A common sense way of solving this problem is to first find the total number of hours taken by 10 masons working for 7 hours a day for 12 days to build the wall.
= 10 masons x 7 hours/day x 12 days = 840 hours (total time taken to build the wall)

Now, assume that the number of days required to build the wall by 14 masons working 8 hours a day be y.
Using the same common sense approach as above, we get
14 masons x 8 hours/day x y = 840
∴ 112 x y = 840
∴ y = 840 ÷ 112 = 7.5 days

Answer 2

Answer:

7.5 days

Step-by-step explanation:

A common sense way of solving this problem is to first find the total number of hours taken by 10 masons working for 7 hours a day for 12 days to build the wall.

= 10 masons x 7 hours/day x 12 days = 840 hours (total time taken to build the wall)

Now, assume that the number of days required to build the wall by 14 masons working 8 hours a day be y.

Using the same common sense approach as above, we get

14 masons x 8 hours/day x y = 840

∴ 112 x y = 840

∴ y = 840 ÷ 112 = 7.5 days