The speed of a body is the distance it travels per unit of time and is represented by the formula d=s×t

Question

where d is distance, s is speed, and t is time.

Sharice’s car is traveling 10 miles per hour slower than twice the speed of Maluma’s car. Sharice covers 93 miles in 1 hour and 30 minutes.

How fast is Maluma driving?

Answer 1

To find out how fast Maluma is driving, we need to first determine Sharice's speed and then use that information to calculate Maluma's speed.

1. Convert the time from hours and minutes to just hours:
   Sharice covers 93 miles in 1 hour and 30 minutes.
   \(1 \text{ hour and } 30 \text{ minutes} = 1.5 \text{ hours}\)

2. Calculate Sharice's speed using the distance formula:
   We can rearrange the distance formula \(d = s \times t\) to find speed \(s\):
   \[ s = \frac{d}{t} \] Substituting the values, we have:
   \[ s = \frac{93 \text{ miles}}{1.5 \text{ hours}} = 62 \text{ miles per hour} \]

3. Express the relationship between Sharice's and Maluma's speeds:
   According to the problem, Sharice’s speed \(s_S\) is related to Maluma’s speed \(s_M\) as follows:
   \[ s_S = 2s_M - 10 \]

4. Substitute Sharice's speed into the equation:
   We know that \(s_S = 62\):
   \[ 62 = 2s_M - 10 \]

5. Solve for Maluma's speed \(s_M\):
   First, add 10 to both sides of the equation:
   \[ 62 + 10 = 2s_M \]
   \[ 72 = 2s_M \] Now, divide by 2:
   \[ s_M = \frac{72}{2} = 36 \]

So, Maluma is driving at a speed of 36 miles per hour.