GMAT: Math 37 | Problem solving | GMAT | Khan Academy

TL;DR

The video discusses and solves four math problems involving distance, averages, odd and even numbers, and fractions.

Transcript

We're on problem 185. Car x and car y traveled the same 80 mile route. If car x took 2 hours-- so, x went 80 miles in 2 hours, and that's 40 miles per hour-- and car y travelled at an average speed that was 50% percent faster than the average speed of car x. So, 50% faster. So y went 50% faster than x. 50% faster times 40 miles per hour. Well that'... Read More

Key Insights

• 😀 Car Y traveled at an average speed of 60 miles per hour in problem 185.
• 😉 The value of k in problem 186 is 31 and 5/8.
• 😆 Only the expression 2p + q in problem 187 results in an odd number.

Questions & Answers

Q: How long did it take for Car Y to travel the route in problem 185?

Car Y took 1 and 1/3 hours to complete the route, as it traveled at an average speed of 60 miles per hour.

Q: What is the value of k in problem 186?

The value of k in problem 186 is found to be 31 and 5/8 after solving the equation and simplifying the expression.

Q: Which expression in problem 187 results in an odd number?

The expression 2p + q in problem 187 results in an odd number, as p is even and q is odd.

Q: How full will Drum Y be after pouring all the oil from Drum X in problem 188?

After pouring all the oil from Drum X, Drum Y will be filled to 11/12 of its capacity, as calculated in the video.

Summary & Key Takeaways

• Problem 185: Car X traveled 80 miles in 2 hours, while Car Y traveled 50% faster. Car Y took 1 and 1/3 hours to complete the route.

• Problem 186: Given the average of four numbers, the video solves for the value of k, which is found to be 31 and 5/8.

• Problem 187: The video explains that the only expression resulting in an odd number is 2p + q, where p is even and q is odd.

• Problem 188: If Drum X is 1/2 full and poured into Drum Y, which has twice the capacity, Drum Y will be 11/12 full.