Question

A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together,they can do it in

Answer 1

Implication & Assumption:

If A is thrice as good as B, then there are 2 implications:

i) A shall be able to do three times the work done by B in the same time. So let's say if B produces 1 unit in a day, A will produce 3 units

ii) A must be able to finish the same job in one-third of the time taken by B. So let's say if A takes X days to complete the work, B will do it in 3X days

Working:

Since A finishes the job in 60 days less, from (ii) we get: 3X - X = 60

So, X = 30 (A finishes the work in 30 days and B in 90 days)

Now from (i), since A produces 3 units per day in 30 days he must produce 90 Units (same way, B shall produce 90 units in 90 days)

Thus, total Work = 90 units

Final Step:

When working together, A & B will jointly produce 4 units per day. So to make 90 units they will need 90/4 = 22.5 day

Thus they will complete the work in 22.5 days (Answer).

hope it helps you dear✌✌✌✌

Answer 2

$\huge{\fbox{\fbox{\green{\mathfrak{Answer\::}}}}}$ 22.5

Step-by-step explanation:

$\red\huge{given\::}$

A is 3 times more good than B they can complete together in about 60 days so,

➡️Let A be 3x

➡️B be 1/3x

3x-x=60

• $\huge{\pink{So,}}$

Let find A,

$2x = 60 \\ \\ x = \frac{60}{3} \\ x = 30 \\ \\ so \\ 60 + 30 = 90$

3x+x=60

Now B,

$4x = 90 \\ \\ x = \frac{90}{4} \\x= 22.5 \\ \\ so, \\ the\:answer, 22.5$