Question

Yumi and juan pick up litter along the highway at the same rate. yumi picks up littler for 3 miles and takes two hours longer than juan, who picks up litter for 2 miles. if it took juan x hours, how long did it take yumi

A) 1 hour 20 minutes

B) 3 hours 20 minutes

C) 4 hours

D) 6 hours

Answer 1

The answer is D because if the answer was 1 hour 20 minutes then that means that she took 2 hours And 20 minutes but she only took two hours longer than juan and juan took less time.
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Answer 2

Option D - 6 hours

Explanation:

Given : Yumi and Juan pick up litter along the highway at the same rate. Yumi picks up littler for 3 miles and takes two hours longer than juan, who picks up litter for 2 miles. if it took juan x hours.

To find : How long did it take Yumi ?

Solution :

Let the Juan's time be x hours.

Yumi takes two hours longer than Juan,

Yumi's time be x+2 hours.

Yumi's distance = 3 miles

Juan's distance = 2 miles

We know,

`\text{Speed}=\frac{\text{Distance}}{\text{Time}}`

Juan's speed is

`S_J=(2)/(x)`

Yumi's speed is

`S_Y=(3)/(x+2)`

The speed of both were same,

So
`(2)/(x)=(3)/(x+2)`

`2*(x+2)=3x`

`2x+4=3x`

`x=4`

Juan's time is 4 hours and

Yumi's time is 4 + 2 = 6 hours.

Therefore, Option D is correct.