Question

$\text{A train reaches Station D by overshooting Station}$ $\text{C by}\frac{1}{4}miles.$

$\text{If Station B lies exactly between stations A and D}$ $\text{and the total distance between Station A and}$
$\text{Station D is}3\frac{1}{5}\text{miles. Calculate the distance}$
$\text{between Station B and Station C.}$

• A. $\frac{32}{20}miles$
• B. $\frac{27}{5}miles$
• C. $\frac{27}{20}miles$
• D. $\frac{32}{5}miles$

Answer 1

The correct option is C $\frac{27}{20}miles$

Given:
Distance between stations C and D =
$\frac{1}{4}miles$

Distance between stations A and D =
$=3\frac{1}{5}miles=\frac{16}{5}miles$


Station B lies exactly between Station A and Station D

So, distance between Station B and Station D =
$\frac{16}{5}÷2=\frac{8}{5}miles$


Distance between Station B and Station C
= Distance between Station B and Station D - Distance between Station C and Station D

$=\frac{8}{5}-\frac{1}{4}$

$=\frac{32-5}{20}$

$=\frac{27}{20}miles$

Therefore, third option is the correct answer.