Problema Solution
In driving from Town A to Town D, you pass through Town B and then through Town C. It is 10 times farther from Town A to Town B than from Town B to Town C, and 10 times farther from Town B to Town C than from Town C to Town B. If it is 1,332 miles from Town A to Town D, how far is it from Town A to Town B?
Answer provided by our tutors
You must mean 10 times farther from Town B to Town C than from Town C to Town D (now Town B)
let x = the distance from C to D
10x = the distance from B to C
10*10x = 100x = the distance from A to B
it is 1,332 miles from Town A to Town D, how far is it from Town A to Town B
x + 10x + 100x = 1332
by solving the equations we find
x = 12 miles
click here to see the step by step solution of the equation
100x = 1200 miles
the distance from Town A to Town B is 1200 miles.