Question

Ravi rented a truck for one day. There was a base fee of $19.95, and there was an additional charge of 76 cents for each mile driven. Ravi had to pay $162.07 when he returned the truck. For how many miles did he drive the truck?

Answer 1

Ravi drove the truck for 198.40 miles.

Step-by-step explanation:

To determine the number of miles Ravi drove the truck, we need to subtract the base fee from the total amount he paid and then divide the result by the additional charge per mile. Let's use the equation:

Total Amount Paid - Base Fee = Additional Charge per Mile * Number of Miles Driven

Solving for the number of miles driven:

Number of Miles Driven = (Total Amount Paid - Base Fee) / Additional Charge per Mile

Plugging in the given values:

Number of Miles Driven = ($162.07 - $19.95) / $0.76

Number of Miles Driven = 198.40 miles

Answer 2

Ravi drove the truck for 187 miles.

Solving word problems in mathematics

Word problem in mathematics requires that we carefully analyze the problem(s) using appropriate mathematical convention and arithmetic operation.

In the given information, Let us assume that:

The number of miles traveled by Ravi = M

The total cost (Q) for this journey in terms of the base fee and the charges per mile can be computed as:

Q = 19.95 + 0.76 M

where;

• Q = 162.07

162.07 = 19.95 + 0.76M

Let us subtract 19.95 from both sides, we get:

162.07 - 19.95 = 19.95 - 19.95 + 0.76 M

0.76 M = 142.12

`M = (142.12)/(0.76)`

M = 187 miles

Therefore, we can conclude that Ravi drove the truck for 187 miles.