Question

a can finish a job in 12 hours & b in 14 hours. a & b works alternatively starting with a. if a earns rs 50 per hour.how much a earns through his job ?

Answer 1

okay gya. this was the last night

Answer 2

Answer:

A earns through job = Rs. 342.85

Step-by-step explanation:

$\text{A's 1 hour work = }\frac{1}{12}\\\\\text{B's 1 hour work = }\frac{1}{14}\\\\\text{A and B work together = }\frac{1}{12} + \frac{1}{14}\\\\\implies \frac{(7 + 6)}{84} = \frac{13}{84}\\\\\text{A and B works alternatively. So, (A + B)'s 2 hours work = }\frac{13}{84}\\\\\text{They work 6 pair of hours.}\\\\\implies \text{Work = }6\times \frac{13}{84} = \frac{13}{14}\\\\\text{Remaining work = }1 - \frac{13}{14} = \frac{1}{14}\\\\\text{13th hour is A's turn.}\\\\\text{A's 1 hour work = }\frac{1}{12}\\\\\frac{1}{14}\text{ work done by A = }\frac{1}{14}\times 12 = \frac{6}{7}\\\\\textbf{Total hour work by A = }6 + \frac{6}{7} = \frac{48}{7}\\\\\textbf{A's earning amount = }50\times \frac{48}{7} = \text{ Rs. 342.85}$