Question

While swimming a 2 km race, adam changes from breaststroke to a butterfly every 200 m. How many times does he switch strokes during the race?

Answer 1

9 switch strokes for 2km

Answer 2

10 times

Further explanation

The Problem:

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

The Process:

Firstly, we must equate length units in meters. Let us convert the race distance unit.

Recall that $\boxed{ \ 1 \ km = 1,000 \ meters \ }$

Then, $\boxed{ \ 2 \ km = 2 \times 1,000 \ meters \ }$

Thus, the race distance is 2,000 m.

Secondly, we calculate how many times does he switch strokes during the race.

Adam changes from breaststroke to a butterfly every 200 m. Let us divide the race distance with the distance of every change.

$\boxed{ \ 2,000 \div 200 = 10 \ times \ }$

Or it could be like this:

$\boxed{ \ 2,000 \ m \times \frac{1 \ times}{200 \ m} = 10 \ times\ }$

Thus, Adam switched strokes 10 times during the races.

- - - - - - - - - -

How many times does he switch strokes during the first half of the race?

$\boxed{ \ \bigg(\frac{1}{2} \times 2,000\bigg) \div 200 = \ ? \ times \ }$

$\boxed{ \ 1,000 \div 200 = \ 5 \ times \ }$

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Keywords: while swimming, a 2 km race, Adam changes, from breaststroke, to a butterfly, every 200 m, how many, times, he switch, strokes, during, the race, the first half