Two teams of workers (red and yellow) are working on a construction site.

If a worker from the yellow team gets $$ 100$ a day, how much does a worker from the red team get?

$ 66.66

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$ 70

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$ 33.33

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$ 56

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Solution

The correct option is A $$ 66.66$
The rate $(R_{y})$ for a worker from the yellow team $= $ 100$

Let the rate $(R_{r})$ for a worker from the red team $= $ x$

Let the work they do $= W$

Two yellow team workers and one red team worker finish the work in 14 days.
$2 R_{y} + R_{r} = \frac{W}{14}$ ----equation (1)

Two yellow team workers and four red team workers finish the work in 8 days.
$2 R_{y} + 4 R_{r} = \frac{W}{8}$ ----equation (2)

Subtract equation 1 from equation 2.

$2 R_{y} + 4 R_{r} - (2 R_{y} + R_{r}) = \frac{W}{8} - \frac{W}{14}$

$4 R_{r} - R_{r} = \frac{3 W}{56}$

$3 R_{r} = \frac{3 W}{56}$

$R_{r} = \frac{W}{56}$

$56 R_{r} = W$

Let's substitute the value of $W$ and $R_{y}$ in equation 1.

$2 \times 100 + R_{r} = \frac{56 R_{r}}{14}$

$200 + R_{r} = 4 R_{r}$

$200 = 3 R_{r}$

$R_{r} = \frac{200}{3}$

$R_{r} = $ 66.66$

Hence, a worker from the red team worker will earn $$ 66.66$ .

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Two teams of workers (red and yellow) are working on a construction site. If a worker from the yellow team gets $100 a day, how much does a worker from the red team get?

Two teams of workers (red and yellow) are working on a construction site.

If a worker from the yellow team gets $$ 100$ a day, how much does a worker from the red team get?