Mike competes in swimming. If Mike must swim a 50m race 10 times every 20 days and a 100m race 4 different times every 20 days, over a period of 440 days, how many times does he swim both races on the same dayA110B55C330D44
Question
Mike competes in swimming. If Mike must swim a 50m race 10 times every 20 days and a 100m race 4 different times every 20 days, over a period of 440 days, how many times does he swim both races on the same dayA110B55C330D44
Solution
First, let's find out how often Mike swims each race:
- For the 50m race, he swims it 10 times every 20 days. So, in one day, he swims it 10/20 = 0.5 times.
- For the 100m race, he swims it 4 times every 20 days. So, in one day, he swims it 4/20 = 0.2 times.
Now, let's find out how many times he swims each race over a period of 440 days:
- For the 50m race, he swims it 0.5 * 440 = 220 times.
- For the 100m race, he swims it 0.2 * 440 = 88 times.
Since he can only swim both races on the same day if he swims both races that day, the number of times he swims both races on the same day is the smaller of these two numbers. So, over a period of 440 days, he swims both races on the same day 88 times.
So, the answer is D44.
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