Question

In a city, gas stations are available at an interval of $15\text{miles}.$ A driver found a gas station at a distance of $7\text{miles}$ after he started his journey. Find the distance from the starting point, after which he finds a new gas station.

• A. 15
• B. 22
• C. 30
• D. 52

Answer 1

Answer: (B), (D)

52

The distance between two gas stations is $15\text{miles}.$
At $7\text{miles}$ from his starting point, the driver finds a gas station.
The next gas station would be at $7+15=22\text{miles}.$
This is an arithmetic sequence.

$\therefore$ From his starting point, he will find gas stations at $7\text{miles},22\text{miles},37\text{miles},52\text{miles},$ and so on.