Beth got a job painting dorm rooms at her college. At top speed, she could paint 5 identical rooms during one 6-hour shift. How long did she take to paint each room?
A. 50 minutes
B. 1 hour and 10 minutes
C. 1 hour and 12 minutes
D. 1 hour and 15 minutes
E. 1 hour and 20 minutes
72 minutes
1 hour = 60 minutes,
so 72 minutes is 1 hour and 12 minutes
>>She could paint 5 identical rooms during one 6-hour shift.<<
So her painting rate was 5 rooms per 6 hours or (5 rooms)/(6 hours) or (5/6)room/hour
How long did she take to paint each room?
Let the length of time in hours be x
Accomplishment = (Rate)(Time)
Since it asks for "each" room, that means each accomplishment of 1 room,
so we substitute 1 for her accomplishment, 5/6 for her rate, and
x for her time:
1 = (5/6)x
Multiply both sides by 6
6 = 5x
Divide both sides by 5.
6/5 = x
Answer: 6/5 hours or 1 1/5 hours or
1 hour 12 minutes.
Edwin
(6 * 60) / 5 = __________ minutes
Thank you very much Edwin
To find out how long Beth took to paint each room, we need to divide the total time she worked (6 hours) by the number of rooms she painted (5).
We can set up a ratio to solve the problem:
(Time taken to paint one room) / (Number of rooms painted) = (Total time taken)
Let's represent the time taken to paint one room as "x" and solve the equation:
x / 5 = 6
To isolate x, multiply both sides of the equation by 5:
x = 6 * 5
x = 30
Therefore, Beth took 30 minutes to paint each room.
However, we need to convert this into hours and minutes, as the answer options are in that format.
Since there are 60 minutes in an hour, we can divide 30 minutes by 60 to convert it into hours:
30 minutes / 60 minutes = 0.5 hours
Now, let's add the whole number and the fractional part together:
0.5 hours + 1 hour = 1.5 hours
So, Beth took 1 hour and 30 minutes to paint each room.
Looking at the answer options, we can see that none of them match exactly. However, we can find the closest option by converting 30 minutes into its fractional form:
30 minutes / 60 minutes = 0.5
We can then add this fractional part to each answer option and see which one is the closest to 1.5 hours.
Option A: 1 hour + 0.5 = 1.5 hours (matches)
Option B: 1 hour + 0.5 + 10 minutes / 60 minutes = 1.5 + 0.17 = 1.67 hours (doesn't match)
Option C: 1 hour + 0.5 + 12 minutes / 60 minutes = 1.5 + 0.2 = 1.7 hours (doesn't match)
Option D: 1 hour + 0.5 + 15 minutes / 60 minutes = 1.5 + 0.25 = 1.75 hours (doesn't match)
Option E: 1 hour + 0.5 + 20 minutes / 60 minutes = 1.5 + 0.33 = 1.83 hours (doesn't match)
Therefore, the closest answer option is A. Beth took 1 hour and 30 minutes, or 50 minutes, to paint each room.