Two-Team-A-B-of-workers-at-a-bridge-site-Each-team-consist-of-W-workers-On-a-particular-day-a-worker-was-shifted-from-team-A-to-team-B-Now-if-the-ratio-of-the-amount-of-workdone-by-teamA-in-W-1

Question Number 134335 by bramlexs22 last updated on 02/Mar/21

$$$$Two Team A&B of workers at a bridge site. Each team consist of W workers. On a particular day, a worker was shifted from team A to team B . Now if the ratio of the amount of workdone by teamA in (W+1) he & by teamB in (W+2) hr is 10:12 rsp. Find W?

Answered by mr W last updated on 02/Mar/21

$$teamA:W-1workers$$$$worksdoneinW+1hours=(W-1)(W+1)$$$$$$$$teamB:W+1workers$$$$worksdoneinW+2hours=(W+1)(W+2)$$$$$$$$\frac{(W-1)(W+1)}{(W+1)(W+2)}=\frac{10}{12}=\frac{5}{6}$$$$6W-6=5W+10$$$$\Rightarrow W=16$$

Commented by bramlexs22 last updated on 02/Mar/21

$$\mathrm{i}\mathrm{got}\mathrm{W}=4.$$$$\mathrm{both}\mathrm{team}\mathrm{A}\mathrm{and}\mathrm{B}\mathrm{have}\mathrm{the}\mathrm{same}$$$$\mathrm{worker}$$

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