Question

In a race of 10 miles, car A can beat car B by 600 yards. In a race of 9 miles, car B can beat car C by 840 yards. By how many yards will car A beat car C in a race of 10 miles?

• A. 1502 yd
• B. 1600 yd
• C. 5290 yd
• D. 6098 yd

Answer 1

The correct option is A 1502 yd

Car A travels 10 mi.

Let's convert mi into yd.

1 mi = 1760 yd

When car A runs 10 mi, which means it traveled 17600 yd.

Given car A beats car B by 600 yd.

So, car B runs = 17600 – 600 = 17000 yd

When car B runs 9 miles = 15840 yd

Car B can beat car C by 840 yd.

Car C runs 15840 – 840 = 15000 yd

Distance traveled by car C in comparison to car B in a 10 mi race is given as:

$\frac{17000\times 15000}{15840}=16098yd$

So, in a race of 10 miles, the distance by which car A beats car C = 17600 – 16098 = 1502 yd