Question

It is a Saturday morning, and Jeremy has discovered he has a leak coming from the water heater in his attic. Since plumbers charge extra to come out on weekends, Jeremy is planning to use buckets to catch the dripping water. He places a bucket under the drip and steps outside to walk the dog. In 20 min, the bucket is 1/8 of the way full. What is the rate at which the water is leaking per hour? and what is the longest time he can be away from the house before the bucket will overflow?

Answer 1

Answer:

$2\frac{1}{2} hours$

Step-by-step explanation:

What is the rate at which the water is leaking per hour?

rate: $\frac{1}{5} buckets = \frac{1}{5}/ \frac{1}{2} buckets/ hr\\ ----\\\frac{1}{2} hour = \frac{2}{5} buckets/ hr$

Write an equation that represents the relationship between the number of buckets filled, , in hours.

$y=\frac{2}{5}x$

What is the longest that Jeremy can be away from the house before the bucket will overflow?

$\frac{5}{2}$ or  $2\frac{1}{2} hours$

Answer 2

Step-by-step explanation:

You start by asking yourself or as I call it crossmultiply

if 20 min the bucket is 1/8 full what about 8/8 or a whole

20×8/8×1/8

=160 min or 2.6 hrs