Question

$280$ meals are to be prepared by three chefs. Every chef has its own speed but the combined output of all three is modelled by the equation $8x+4x+2x=280$. If $x$ is a positive integer, which of the following could $8x$ represent in the equation?

• A. The total meal output by the slowest chef, who made $40$ meals
• B. The total meal output by the fastest chef, who made $160$ meals
• C. The total meal output by the fastest chef, who made $80$ meals
• D. The different between the output between the slowest and fastest chef, which would be $120$ meals

Answer 1

Answer: (B)

The correct option is B The total meal output by the fastest chef, who made $160$ meals
In given equation $8x+4x+2x=280$

Then $14x=280$

$\therefore x=20$

Then $x$ is $20$ meals

Then mean of $8x$ in equation is

$8x=8\times 20=160$ meals

Then the meal output by the fastest chef, who made $160$ meals.