Question

You are a 5-hour trip, and your speed
For the first two hours only averaged
58 mph because of slow traffic. How
fast must you drive for the last 3 hours
to average 65 mph for the entire trip
(round up if needed)?​

Answer 1

This is a MIXTURE problem.

This is a MIXTURE problem.Two speeds (40mph and 60mph) are combined to form a mixture with an average speed of 55mph.

This is a MIXTURE problem.Two speeds (40mph and 60mph) are combined to form a mixture with an average speed of 55mph.To determine how much time must be spent at each speed, we can use ALLIGATION.

This is a MIXTURE problem.Two speeds (40mph and 60mph) are combined to form a mixture with an average speed of 55mph.To determine how much time must be spent at each speed, we can use ALLIGATION.Let S = the slower speed and F = the faster speed.

This is a MIXTURE problem.Two speeds (40mph and 60mph) are combined to form a mixture with an average speed of 55mph.To determine how much time must be spent at each speed, we can use ALLIGATION.Let S = the slower speed and F = the faster speed.Step 1: Plot the 3 speeds on a number line, with F and S on the ends and the speed for the mixture (55mph) in the middle.

This is a MIXTURE problem.Two speeds (40mph and 60mph) are combined to form a mixture with an average speed of 55mph.To determine how much time must be spent at each speed, we can use ALLIGATION.Let S = the slower speed and F = the faster speed.Step 1: Plot the 3 speeds on a number line, with F and S on the ends and the speed for the mixture (55mph) in the middle.S 40-----------55----------60 F

This is a MIXTURE problem.Two speeds (40mph and 60mph) are combined to form a mixture with an average speed of 55mph.To determine how much time must be spent at each speed, we can use ALLIGATION.Let S = the slower speed and F = the faster speed.Step 1: Plot the 3 speeds on a number line, with F and S on the ends and the speed for the mixture (55mph) in the middle.S 40-----------55----------60 FStep 2: Calculate the distances between the values on the number line.

This is a MIXTURE problem.Two speeds (40mph and 60mph) are combined to form a mixture with an average speed of 55mph.To determine how much time must be spent at each speed, we can use ALLIGATION.Let S = the slower speed and F = the faster speed.Step 1: Plot the 3 speeds on a number line, with F and S on the ends and the speed for the mixture (55mph) in the middle.S 40-----------55----------60 FStep 2: Calculate the distances between the values on the number line.S 40----15----55----5-----60 F

This is a MIXTURE problem.Two speeds (40mph and 60mph) are combined to form a mixture with an average speed of 55mph.To determine how much time must be spent at each speed, we can use ALLIGATION.Let S = the slower speed and F = the faster speed.Step 1: Plot the 3 speeds on a number line, with F and S on the ends and the speed for the mixture (55mph) in the middle.S 40-----------55----------60 FStep 2: Calculate the distances between the values on the number line.S 40----15----55----5-----60 FStep 3: Determine the ratio of the two given speeds.

This is a MIXTURE problem.Two speeds (40mph and 60mph) are combined to form a mixture with an average speed of 55mph.To determine how much time must be spent at each speed, we can use ALLIGATION.Let S = the slower speed and F = the faster speed.Step 1: Plot the 3 speeds on a number line, with F and S on the ends and the speed for the mixture (55mph) in the middle.S 40-----------55----------60 FStep 2: Calculate the distances between the values on the number line.S 40----15----55----5-----60 FStep 3: Determine the ratio of the two given speeds.The ratio of S to F is equal to the RECIPROCAL of the distances in red.

This is a MIXTURE problem.Two speeds (40mph and 60mph) are combined to form a mixture with an average speed of 55mph.To determine how much time must be spent at each speed, we can use ALLIGATION.Let S = the slower speed and F = the faster speed.Step 1: Plot the 3 speeds on a number line, with F and S on the ends and the speed for the mixture (55mph) in the middle.S 40-----------55----------60 FStep 2: Calculate the distances between the values on the number line.S 40----15----55----5-----60 FStep 3: Determine the ratio of the two given speeds.The ratio of S to F is equal to the RECIPROCAL of the distances in red.S:F = 5:15 = 1:3