Chapter 8.1, Problem 60PPS

To determine

Whether he make it to Atlanta without having to stop and get the gas.

Answer to Problem 60PPS

  $160\text{miles}$

Explanation of Solution

Given:

Mr. M’s gas tank holds 10 gallons and his car gets 32 miles per gallon at his current speed of 65 miles per hour.

  

Concept Used:

Rules of Addition/ Subtraction:

• Two numbers with similar sign always get added and the resulting number will carry the similar sign.
• Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.

Rules of Multiplication/ Division:

• The product/quotient of two similar sign numbers is always positive.
• The product/quotient of two numbers with opposite signs is always negative.

Calculation:

From the given figure of gas gauge, it is clear that the fuel is a bit more than half. It is approximately 5.5 gallons of gas in his tank.

Since his car gets 32 miles per gallon, so in 5.5 gallons his car can go approximately

  $32\times 5.5=176\text{ miles}$

So, he cannot make it to Atlanta without having stop because he can travel only 176 miles in that fuel gas.