Question

On a bike ride, calvin starts at home and goes up a long hill for 30 minutes at just 6 mph. at the top, he turns around and rides home along the same path at a speed of 18 mph. what is his average speed for the round-trip?

Answer 1

9mph is the average speed  for the round-trip.

What is Average speed?

The average speed is the total distance traveled by the object in a particular time interval.

Given that Calvin's first leg of the trip took 0.5 hr (30 minutes) at 6 mph.  That means he travelled (0.5hr x 6 mph =) 3 miles.  

He travelled 3 miles on the return trip, by definition (same path home).  

At 18 mph, 3 miles would take (3 miles/18 mph =) 0.1667 hours.  

That makes a total of 6 miles

0.5 + 0.1667= 0.6667 hours.

(6 miles)/(0.6667 hours) = 9 mph

9mph is Calvin's average speed for the round trip.

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Answer 2

Answer:

9 mph

Step-by-step explanation:

Calvin's first leg of the trip took 0.5 hr (30 minutes) at 6 mph.  That means he travelled (0.5hr x 6 mph =) 3 miles.  He travelled 3 miles on the return trip, by definition (same path home).  At 18 mph, 3 miles would take (3 miles/18 mph =) 0.1667 hours.  That makes a total of 6 miles and (0.5 + 0.1667=) 0.6667 hours.

(6 miles)/(0.6667 hours) = 9 mph is Calvin's average speed for the round trip.