Question

Houses A, B and C are on the same side of a street and in same order. If B is 2.5 kms from C and 3.5 kms from A, then the houses A and C are apart.

• A. 5.5 kms
• B. 6 km
• C. 1 km
• D. 1.5 km

Answer 1

The correct option is B 6 km


The three houses are on the same side of the street and in same order.

$\therefore$The distance between the houses A and C, which are at the ends is obtained by adding the distances between A and B, and B and C.

i.e., $3.5\text{km}+2.5\text{km}$
$=(3\text{km}+0.5\text{km})+(2\text{km}+0.5\text{km})$
$=3\text{km}+2\text{km}+0.5\text{km}+0.5\text{km}$
$=5\text{km}+1\text{km}$
$=6\text{km}$

$\therefore$ The houses A and C are 6 kms apart.