Question

while swimming a 2km race, Adam changes from breaststroke to butterfly every 200m. How many times does he switch strokes during the first half of the race?

Answer 1

in the first half he would have swam 1 km. there are 1000m in a km so 1000/200=5 so he swam the first 200 fly, then a 200 breast, then a 200 fly again, then another 200 breast the finish the first 1 km with a 200 fly. so we switched strokes 4 times.

PS i wouldn't recommend doing a 2 km swim fly and breast

Answer 2

Adam switch strokes 4 times  during the first half of the race

Further explanation

The division operation is one of the basic arithmetic operations

Common signs used are $\large{\boxed{:}}}$ or $\large{\boxed{\slash}}$

The division is written by placing the numerator above the denominator with a horizontal line between them or use a slash with the numerator's position and the denominator is parallel

The division is actually an iterative subtraction operation (as many as the number of divisors)

Division is the opposite of multiplying

The general form of division can be stated by:

$\large{\boxed{\bold{divident:divisor=quotient+remainder}}$

example:

7: 3 = 2 + 1

• 7 = dividend
• 3 = divisor
• 2 = quotient
• 1 = remainder

The form of division can also be expressed in terms of fractions

In the number above, the form of fraction obtained is the form of mixed fractions

$\displaystyle \frac{7}{3} =2\frac{1}{3}$

Mixed fractions consist of integers and ordinary fractions

Division operation statement:

"7 divided by 3 equals 2 remainder 1

• The first half of the race,

it means :half of a 2 km race :

$\displaystyle \frac{1}{2} \times2\:km$

$\displaystyle =\boxed{1\:km}$

• Adam changes from breaststroke to butterfly every 200m,

he switches strokes after passing the first 200 m so he switches strokes by:

$\displaystyle (1000\:m(=1\:km)-200\:m)\div200\:m$

$=800\:m\div200\:m$

$\large{\boxed{\bold{4\:times}}}$

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Keywords: division, race, switch strokes