The speed of a body is the distance it travels p unit of time and is represented by d=s*t. Sharice's car is traveling at 10 miles p h SLOWER than TWICE the speed of Maluma's car. Sharice cover 93 miles in 1 hour and 30 minutes. How fast is Maluma driving?

Question

A) 62 mph
B)36 mph
C)29 mph
D) 26 mph

Answer 1

Let's denote the speed of Maluma's car as \( s \) miles per hour.

According to the problem, Sharice's car is traveling at 10 miles per hour slower than twice the speed of Maluma's car. Therefore, we can express Sharice's speed as: \[ \text{Sharice's speed} = 2s - 10 \]

We know that Sharice covers 93 miles in 1 hour and 30 minutes. Converting 1 hour and 30 minutes to hours, we have: \[ 1 \text{ hour} + 30 \text{ minutes} = 1 + \frac{30}{60} = 1.5 \text{ hours} \]

Now, we can find Sharice's speed using the formula \( \text{speed} = \frac{\text{distance}}{\text{time}} \): \[ \text{Sharice's speed} = \frac{93 \text{ miles}}{1.5 \text{ hours}} = 62 \text{ mph} \]

Now, we can set up the equation using the expression we have for Sharice's speed: \[ 2s - 10 = 62 \]

To find \( s \), we solve for it: \[ 2s = 62 + 10 \] \[ 2s = 72 \] \[ s = \frac{72}{2} = 36 \]

Thus, Maluma's speed is \( \boxed{36} \text{ mph} \).

Answer 2

Thank you for that. Can you explain in a more easy way to understand? Thank you again.

Answer 3

Of course! Let’s break it down step by step in simpler language.

1. Understanding Speeds:

   • Sharice's speed is said to be 10 miles per hour slower than double Maluma's speed.
   • We will call Maluma's speed \( s \) (an unknown value we want to find). So, we can write Sharice's speed like this: \[ \text{Sharice's speed} = 2s - 10 \] This means you take double Maluma's speed and then subtract 10.

2. How Fast is Sharice Driving?:

   • We are told that Sharice drives 93 miles in 1 hour and 30 minutes.
   • First, we need to convert that time to hours. Since 1 hour and 30 minutes is the same as 1.5 hours, we can use this time to find Sharice's speed: \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{93 \text{ miles}}{1.5 \text{ hours}} = 62 \text{ mph} \]
   • So, we found that Sharice's speed is 62 miles per hour.

3. Finding Maluma's Speed:

   • Now we can use the equation we made, where we set Sharice's speed equal to the expression we derived: \[ 2s - 10 = 62 \]

   • To find Maluma's speed \( s \), follow these steps: a. Add 10 to both sides: \[ 2s = 62 + 10 \quad \Rightarrow \quad 2s = 72 \]

     b. Now divide both sides by 2 to isolate \( s \): \[ s = \frac{72}{2} = 36 \]

4. Final Answer:

   • So, you can see that Maluma is driving \( \boxed{36} \) miles per hour.

That's how we worked through the problem! If you have any more questions or if something's still unclear, feel free to ask!

Answer 4

Thanks for that.

Answer 5

You're welcome! I'm glad I could help. If you have any more questions or need assistance with anything else, feel free to ask. Happy learning!