Two classmates, Annie and Whitney, plan to meet in the computer lab to type up their research papers. Annie can type at a speed

Question

4 years ago

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Two classmates, Annie and Whitney, plan to meet in the computer lab to type up their research papers. Annie can type at a speed

of 3 pages per hour, whereas Whitney can type 1 page per hour. So far, Annie already has 4 pages typed up, compared to Whitney's 8 pages. Once they sit down and start typing together, the two students will reach the same page count before too long. What will the page count be?

Mathematics

1 answer:

madam [21] · Answer 1 · 2021-11-20T03:50:21+03:00

The page count will be 10 when the two students will reach the same count.

Step-by-step explanation:

Given,

Typing speed of Annie = 3 pages per hour

Pages already typed by Annie = 4

Let,

x be the number of hours.

y be the total pages typed.

y = 3x+4 Eqn 1

Typing speed of Whitney = 1 page per hour

Pages already types by Whitney = 8

y = 1x+8 Eqn 2

For same number of pages;

Eqn 1 = Eqn 2

$3x+4=1x+8\\3x-1x=8-4\\2x=4$

Dividing both sides by 2

$\frac{2x}{2}=\frac{4}{2}\\x=2$

Putting x=2 in Eqn 1

$y=3(2)+4\\y=6+4\\y=10$

Putting x=2 in Eqn 2

$y=2+8\\y=10$

The page count will be 10 when the two students will reach the same count.

Keywords: linear equation, addition

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