if a small bunny takes 9 hours to make a hole and a medium bunny takes 6 hours to make a hole and a large bunny takes 4.5 hours to make a hole, then how long will it take if all 3 bunnies work together to make a hole?
Answers (2)
Get a ruler in your hands. Measure things until you start to understand how a ruler works. Measure some stuff and figure out where the center is. Say you measure a book and it's 7/8" thick. You look at your ruler and see that every eighth is divided into two sixteenths, so obviously half of 7/8" is going to be 7/16". If you write that out you have 1/2 x 7/8 = 7/16. And you notice that 1/2 is divided into 2/4 and then into 4/8 and so on, so you can convert anything to anything by multiplying all the numbers on top and then all the numbers on bottom.
Other rulers are divided into 10 and 100 parts. But an inch is still an inch, so anything on one ruler can be translated to the other ruler. A half inch on one ruler is 5/10 or 50/100 on the other. An eighth inch is just 12.5 marks when you have 100 marks per inch. A metric ruler divides an inch into 25.4 parts, so a half inch would be 12.7 of those parts. Pretty simple, isn't it? Practice this a bit and people will think you went to wizard school.
S the small bunny works at 1/9 hole per hour. M the medium bunny works at 1/6 hole per hour. L the large bunny works at 1/4.5 hole per hour.
total = 1/9 + 1/6 + 1/4.5 Now you have three different rulers, so you need to find equivalents on one ruler. We see right off that 1/4.5 = 2/9. Then we notice that 18 is divisible by both 6 and 9.
total = 1/9 x 2/2 + 1/6 x 3/3 + 2/9 x 2/2
total = 2/18 + 3/18 + 4/18
total = 9/18 which is 1/2 hole per hour and that means 2 hours per hole.