Samuel was preparing for the triathlon. He did 3 activities every morning: Ran for 30 minutes, covering 4.5 miles. Swam for 20 minutes, covering 2/3 mi. biked for 45 min, covering 9 miles. What was Samuel's average speed during his morning training? I need it to be in Hours, Meaning mph Thx GUys.

Respuesta :

Speed can be defined as the distance covered per time.

The average speed formula is given as: Distance/Time

The average speed of Samuel's morning training is 7 2/3 miles/hour

We are to calculate the time in hours. Remember conversion rate :

60 minutes = 1 hour

He did 3 activities every morning

  • a) Ran for 30 minutes, covering 4.5 miles.

60 minutes = 1 hour

30 minutes = ?

Cross Multiply = 30 minutes x 1 hour / 60 minutes

= 0.5 hour

Hence: Speed = 4.5 miles/0.5 hour

=  9 miles/hour

  • b) Swam for 20 minutes, covering 2/3 miles

60 minutes = 1 hour

20 minutes = ?

Cross Multiply = 20 minutes x 1 hour / 60 minutes

= 1/3 hour

Hence: Speed = 2/3 miles/ 1/3 hour

=  2/3 x 3/1 (miles/hour)

= 2 miles/hour

  • c) Biked for 45 min, covering 9 miles.

60 minutes = 1 hour

45 minutes = ?

Cross Multiply = 45 minutes x 1 hour / 60 minutes

= 3/4 hour

Hence: Speed = 9 miles/ 3/4 hour

=  9 x 4/3 (miles/hour)

= 12 miles/hour

  • Samuel's average speed during his morning training is calculated as:

(9 + 2 + 12) miles/hour / 3

= 23/3

= 7 2/3 miles/hour

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