Question

Houses A, B and C are on the same side of a street and in the same order. If A is 5 kms from B and 8.5 kms from C, then B and C are apart.

• A. 3 km
• B. 3.5 km
• C. 2.5 km
• D. 1.5 km

Answer 1

The correct option is B 3.5 km


A and B are 5 kms apart.

A and C are 8.5 kms apart.

Since the houses are on the same side of the street and in the order A, B and C, the distance between B and C is got by subtracting the distance between A and B from A and C.

i.e., $8.5\text{km}-5\text{km}=(8\text{km}+0.5\text{km})-5\text{km}$
$=(8\text{km}-5\text{km})+0.5\text{km}$
$=3\text{km}+0.5\text{km}$
$=3.5\text{km}$