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 :

To solve the question about who jumps further between Ken and Steve, and by how much, let's go through the process step-by-step.

a) Who jumps further?

1. Convert Ken's jump to a decimal:
- Ken's jump is given as [tex]\(1 \frac{1}{5}\)[/tex] meters.
- Converting this to a decimal: [tex]\(1 \frac{1}{5} = 1 + \frac{1}{5} = 1 + 0.2 = 1.2\)[/tex] meters

2. Compare Ken's and Steve's jumps:
- Ken jumps 1.2 meters.
- Steve jumps 1.5 meters.

3. Determine who jumps further:
- Compare 1.2 meters (Ken) with 1.5 meters (Steve).
- Since 1.5 meters is greater than 1.2 meters, Steve jumps further than Ken.

b) How much further does Steve jump?

1. Calculate the difference in their jumps:
- Steve's jump: 1.5 meters
- Ken's jump: 1.2 meters

2. Subtract Ken's jump from Steve's jump:
- [tex]\(1.5 - 1.2 = 0.3\)[/tex] meters

Therefore, Steve jumps 0.3 meters further than Ken.