High School

Ken and Steve are in a long jump competition.

Ken jumps [tex]1 \frac{1}{5}[/tex] metres.
Steve jumps 1.5 metres.

a) Who jumps further, Ken or Steve?
b) How much further does he jump?

Give your answer in metres.

Answer :

Sure! Let's go through the solution step by step.

a) To determine who jumps further, we need to compare the distances jumped by Ken and Steve.

- Ken's jump is [tex]\(1 \frac{1}{5}\)[/tex] meters, which is a mixed number. To convert it to a decimal, you first convert the fractional part:
[tex]\[ 1 \frac{1}{5} = 1 + \frac{1}{5} = 1 + 0.2 = 1.2 \text{ meters}. \][/tex]

- Steve's jump is already given as 1.5 meters.

Now, compare the two distances:
- Ken: 1.2 meters
- Steve: 1.5 meters

Since 1.5 meters is greater than 1.2 meters, Steve jumps further.

b) Next, we calculate how much further Steve jumps compared to Ken. We find the difference between Steve's jump and Ken's jump:

[tex]\[
1.5 - 1.2 = 0.3 \text{ meters}.
\][/tex]

Steve jumps 0.3 meters further than Ken.

In summary, Steve jumps further and he jumps 0.3 meters more than Ken.