Question

In a 5-km race, A beats B by 750 metres and C by 1260 metres. By how many metres does B beat C in the same race?

• A. 700 metres
• B. 600 metres
• C. 500 metres
• D. 400 metres

Answer 1

Answer:

B. 600 metres

In a 5 km race = 5000 m

When A finishes 5000 m:

• B has run = 5000 − 750 = 4250 m

• C has run = 5000 − 1260 = 3740 m

So, speeds are proportional to distances covered:
A : B : C = 5000 : 4250 : 3740

Now compare B and C:
When B runs 4250 m, C runs 3740 m

When B runs 5000 m, C runs:
$\frac{3740}{4250} \times 5000 = 4400 \text{ m}$

So, B beats C by:
$5000 - 4400 = 600 \text{ m}$

Final Answer: 600 metres