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A car travels from point A to point B at a speed of 60 mph and returns to point A at a speed of 80 mph. What is the average speed for the round trip?If three people can paint a house in 12 days, how many days would it take for 6 people to paint the same house?If a discount of 20% is applied to a product and then another discount of 15% is applied to the reduced price, what is the overall discount percentage?What is the largest prime number that is less than 100?

Question

A car travels from point A to point B at a speed of 60 mph and returns to point A at a speed of 80 mph. What is the average speed for the round trip?If three people can paint a house in 12 days, how many days would it take for 6 people to paint the same house?If a discount of 20% is applied to a product and then another discount of 15% is applied to the reduced price, what is the overall discount percentage?What is the largest prime number that is less than 100?

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Solution

  1. To calculate the average speed for a round trip, you need to consider the total distance and total time. The distance from point A to B is the same as from B to A. Let's assume this distance is D. The time to go from A to B is D/60 and the time to return is D/80. So, the total time is D/60 + D/80 = D/48. The total distance is 2D. So, the average speed is total distance / total time = 2D / (D/48) = 96 mph.

  2. If three people can paint a house in 12 days, then one person would take 3*12 = 36 days to paint the house. If 6 people are painting the house, then it would take 36/6 = 6 days to paint the house.

  3. If a discount of 20% is applied to a product, the price becomes 80% of the original. If another discount of 15% is applied, the price becomes 85% of the reduced price, or 0.85*0.80 = 0.68 of the original price. So, the overall discount is 1 - 0.68 = 0.32 or 32%.

  4. The largest prime number less than 100 is 97.

This problem has been solved

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