Question

# ROOMS CLEANED IN 1 HOUR # MEALS COOKED IN 1 HOUR

Jacob 2 4
William 3 9

What is the minimum William would need to receive from Jacob to be willing to cook another meal?

a) 1/3 of a clean room
b) 1/2 of a clean room
c) 2 clean rooms
d) 3 clean rooms

Answer 1

a) 1/3 of a clean room

Explanation:

First at all, we need to calculate how much takes Jacob cleaning a room.

So we divide 1 hour by 2 rooms

1 hour = 60 min

and
`(60min)/(2 rooms)  =  30 min/room`

Now, we must to know how much takes William to cook a meal:

In 60 minutes William cooks 9 meals

so we have:

`\frac{60min}(9 meals} = 6 (2)/(3) minutes/meal \\`

that means William spends 6 minutes and 40 sec cooking a meal.\

Now we can solve:

In 6 minutes and 40 sec, how many rooms can Jacob clean?

We know Jacob spend 30 minutes cleaning a room so in 10 minutes or 1/3 of a clean room Williams had already cooked another meal. Thus, the closest answer is a)1/3 of a clean room.