Points a and b are 200 mi apart. a cyclist started from point a and a motorcyclist started from point b, moving towards each other. the speed of the cyclist was 17 mph, the speed of motorcyclist was 83 mph. at what distance from point a will they meet?

34 miles is the distance from point A will they meet.

Step-by-step explanation:

Proportion states that the two ratios or fractions are equal.

Given the statement:

Distance between point A and B (i.e AB) = 200 mi.

Let the cyclist speed be c, and motor- speed be m;

then;

c = 17 mph and m=83 mph

Let they meet at distance x miles from a point A.  

By definition of proportion, we have;

By cross multiply;

Using distributive property,

Add 17x both sides we get;

Simplify:

100x = 3400

Divide by 100 on both sides we get;

x = 34 miles

Therefore, the distance from point A will they meet is, 34 miles.