QUESTIONS

Change the following rates into the indicated units:

Make sure to indicate the units in your answers.

1) A farmer has 200 laying hens who each lay 5 eggs per week.
How many dozen eggs per month can he produce? (there are 12 items in a dozen.) (solution)

2) In the early 1950's a sprinter could do 2200 metres in 5 minutes.
What is that rate in kilometres per hour? (solution)

3) The price of potatoes at the Atwater Market is $0.57 per 100 grams.
What is the price for a kilogram? (solution)

4) A weird weatherman said "the wind is from the northeast at 50 metres per minute."
What is the wind speed in kilometres per hour? (solution)

5) The winning horse in a race ran the 3.2 km track in 4.3 minutes.
What was his speed in kilometres per hour? (solution)

6) Once launched, the space shuttle rose 3450 metres in 10 seconds.
What is the speed in kilometres per hour? (solution)

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SOLUTIONS

1) 200 hens at 5 eggs/week each = 1000 eggs/week
1 month = 4 weeks so he gets 4000 eggs/month.
12 eggs/dozen makes it 4000/12 = 333.33 dozen eggs/month.
He can produce and sell 333 dozen eggs/month and have 4 eggs left over for an omelette.

2) 2200 metres in 5 minutes = 2.2 km in 5 minutes
2.2 km in 5 minutes = 0.44 km/min
0.44 km/min % 60 min/hr = 26.4 km/hr.

3) $0.57 per 100 grams: There are 1000 grams in a kilogram
1000 = 10 % 100 so it costs 10 % 0.57 = $5.70 for a kilogram of potatoes.

4) 50 metres per minute = 50 % 1/1000 km/m = 1/20 km/min
There are 60 minutes in an hour so the speed is 1/20 km/min % 60 min/hr = 3 km/hr.

5) 3.2 km in 4.3 minutes = 3.2/4.3 km/min = 0.74419 km/min.
There are 60 minutes in an hour so the speed is 0.74419 km/min % 60 min/hr = 44.65 km/hr.

6) 3450 metres in 10 seconds = 345 m/sec = 0.345 km/sec
There are 3600 seconds in an hour so 0.345 km/sec % 3600 sec/hr = 1242 km/hr.

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