Average Speed on a Two-Part Trip
Average Speed on a Two-Part Trip is a skill on Pengi from Lesson 4: More Operations on Fractions in Yoshiwara Intermediate Algebra.
Key Concepts
Property The average speed for a trip is the total distance divided by the total time. For a two part trip with distances $d 1$ and $d 2$ traveled at rates $r 1$ and $r 2$, the times for each part are $t 1 = \frac{d 1}{r 1}$ and $t 2 = \frac{d 2}{r 2}$.
The average speed for the entire trip is given by the formula: $$\text{Average speed} = \frac{\text{Total distance}}{\text{Total time}} = \frac{d 1 + d 2}{\frac{d 1}{r 1} + \frac{d 2}{r 2}}$$.
Examples A car travels 150 miles at 50 mph and returns the same distance at 30 mph. Total distance is 300 miles. Total time is $\frac{150}{50} + \frac{150}{30} = 3 + 5 = 8$ hours. Average speed is $\frac{300}{8} = 37.5$ mph.
Common Questions
What is Average Speed on a Two-Part Trip?
Average Speed on a Two-Part Trip is a skill on Pengi from Lesson 4: More Operations on Fractions in Yoshiwara Intermediate Algebra.
What grade level is Average Speed on a Two-Part Trip for?
Average Speed on a Two-Part Trip is part of the Grade 7 Math curriculum, covered in Yoshiwara Intermediate Algebra. It is designed for students studying Math at the Grade 7 level.
How can I learn Average Speed on a Two-Part Trip?
Pengi offers an AI-guided lesson for Average Speed on a Two-Part Trip that walks you through the key concepts step by step. The lesson is aligned to Yoshiwara Intermediate Algebra so the content matches what you see in class.
How do I practice Average Speed on a Two-Part Trip?
After learning the concept, use the Practice mode to work through targeted exercises on Average Speed on a Two-Part Trip. The AI adapts to your level and gives feedback on each answer so you can identify and fix mistakes.
Which textbook covers Average Speed on a Two-Part Trip?
Average Speed on a Two-Part Trip is covered in Yoshiwara Intermediate Algebra, specifically in Chapter 8: Polynomial and Rational Functions under Lesson 4: More Operations on Fractions. Pengi's lesson is aligned directly to this textbook so you can follow along with your class.
Is Average Speed on a Two-Part Trip free to study on Pengi?
Yes, the core Learn and Practice modes for Average Speed on a Two-Part Trip are available for free on Pengi. No credit card is required to start studying.