ratios

Wasted Time is Very Tough to Make Up

Math Level: 
Senior High (Grades 10 - 12)

I’m an amateur long distance runner and I’ve always found it surprising just how long it takes me to catch the slowpokes!

Here is an example: If I run twice as quickly as someone else and I give them a five minute head start, in my mind I expect to catch them in a few minutes. I am running twice as quickly as they are, after all, like a rabbit versus a tortoise! In fact, I will only catch them after running full speed for an additional five minutes.

How much will it cost to drive from Montreal to Niagra Falls?

Math Level: 
Junior High (Grades 7 - 9)

Here is the scenerio:

Next month we're planning a trip from Montreal to Niagra Falls. My husband is going to run the Niagra Falls marathon, so we're going for the weekend.

Our car uses about 1 gas tank (50L of gas) for approximately 600km. The distance from Montreal to Niagra falls is 667km (you could get the students to look this up as an extra challenge). Also I plan to drive around in Niagra falls a bit (at least 84km, as I have to drive my husband to the start of the Marathon, which is 42km long, and then come back to the finish line in Niagra Falls).

How much penicillin to give to a 900lb bull?

Math Level: 
Junior High (Grades 7 - 9)

While visiting a farm, a bull had broken his penis. In order to help him with the healing process and any infections that would come from this terrible incident, the farm hand had to administer penicillin to him. On the bottle, there was a dosage of penicillin per 1kg. But she only knew the weight of the animal in pounds --> 900lbs. So she asks... how many kilograms in 900lbs?

Swimming Pool Chlorination

Math Level: 
Junior High (Grades 7 - 9)

When you own an outdoor swimming pool, in the spring you need to "shock" it, which means add a large amount of chlorine, in order to kill all the backteria and algea that accumulated over the fall/winter/spring. But chlorine is expensive, so you don't want to add too much (and waste it). In order to figure out how much to add, you need to figure out the volume of your pool, since the label on the chlorine tells you how much to add per litre of water.

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