47 masons can dig a 35 m-long trench in one day. How many masons should be employed for digging a 105 m-long trench of the same type in one day?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 141.
Let the number of masons required to dig a 105 m long trench in one day be x
The length of the trench is directly proportional to the number of masons, so we set up a proportion
Masons for 35m tranch/Masons for 105 m tranch = Length of 35 m tench/Length of 105 m tranch
⇒ 47/x = 35/105
⇒ 47/x = 1/3
⇒ x = 47 × 3
⇒ x = 141
Thus, 141 masons should be employed to dig a 105 m-long trench in one day