The number of hours it takes Jack to drive from Boston to Bangor is inversely proportional to his average driving speed. When he drives at an average speed of 40 miles per hour, it takes him 6 hours for the trip. Write the equation that relates the number of hours, h, with the speed, s. How long would the trip take if his average speed was 50 miles per hour?

Question

Mathematics

Kc

Today, 00:38

The number of hours it takes Jack to drive from Boston to Bangor is inversely proportional to his average driving speed. When he drives at an average speed of 40 miles per hour, it takes him 6 hours for the trip. Write the equation that relates the number of hours, h, with the speed, s. How long would the trip take if his average speed was 50 miles per hour?

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Ruby Kim · Answer 1

The equation that relates the number of hours, h, with the speed, s, is: h = 240/s.

If he drives at 50 miles/h he'll make the trip in 4.8 h.

Step-by-step explanation:

The formula for the average speed is given by:

average speed = distance/time

Since Jack takes 6 h if he drives at 40 miles per hour, then the distance between Boston and Bangor must be:

distance = (average speed) * time

distance = 40*6 = 240 miles

The equation that relates the number of hours to the speed at which he makes the trip is:

h = 240/s

If he drives at a speed of 50 miles, he'll make the trip in:

h = 240/50 = 4.8 hours