A freight shipping company calculates the total fuel consumption, C in gallons, for a carg… — ACT

A freight shipping company calculates the total fuel consumption, $C$ in gallons, for a cargo vessel using the equation $C = 45h$ , where $h$ represents the number of hours the vessel operates at cruising speed. If the vessel consumed a total of $3,150$ gallons of fuel on a recent journey, for how many hours did the vessel operate at cruising speed?

$70$ Answer
B
$75$
C
$3,105$
D
$3,195$
E
$141,750$

Answer

70 hours

To find the number of hours

h

, substitute

3,150

for

C

in the equation

C = 45h

, yielding

3,150 = 45h

. Dividing both sides by

45

gives

h = 70

. Therefore, the vessel operated at cruising speed for

70

hours.

Step-by-Step Solution

Identify the given values and formula from the problem statement.

Formula:

C = 45h

, with total fuel consumption

C = 3,150

gallons.

This sets up the linear one-step equation to solve for the unknown operating time

h

Substitute

C = 3,150

into the equation.

3,150 = 45h

Replacing the variable

C

with its given numeric value leaves a one-step multiplication equation in terms of

h

Isolate

h

by performing the inverse operation.

h = \frac{3,150}{45} = 70

Dividing both sides of the equation by

45

isolates

h

to find the number of hours.

Key Concept

Solving One-Step Multiplication Equations

Estimated Time:1m 0s

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