Question

An athlete in training rides his bike 50 mi and then immediately follows with a 20 - mi run. The total workout takes him 2.5 hr . He also knows that he bikes about twice as fast as he runs. Determine his biking speed and his running speed. Part 1 of 2 His running speed is mph . Part 2 of 2 His biking speed is mph .

Name: an athlete in training rides his bike 50 mi and then immediately follows with a 20 mi run the total workout takes him 25 hr he also knows that he bikes about twice as fast as he runs determi 65515
Uploaded: 2023-05-09T15:25:57-08:00
Duration: 3 min 58 s
Channel: Danielle Fairburn
Description: an athlete in training rides his bike 50 mi and then immediately follows with a 20 mi run the total workout takes him 25 hr he also knows that he bikes about twice as fast as he runs determi 65515

          An athlete in training rides his bike 
50 mi
 and then immediately follows with a 
20
-
mi
 run. The total workout takes him 
2.5 hr
. He also knows that he bikes about twice as fast as he runs.
Determine his biking speed and his running speed.
Part 1 of 2
His running speed is 
mph
.
Part 2 of 2
His biking speed is 
mph
.

Added by Dylan D.

Grade 6 Mathematics: Open Up Resources, Common Core State Standards Edition

N/A 6th Edition

Instant Answer

Solved by Expert Danielle Fairburn

05/09/2023

Step 1

Then the biking speed is 2x. The time spent running is 20 miles / x mph, and the time spent biking is 50 miles / 2x mph. The total time spent is 2.5 hours, so we can write the equation: (20/x) + (50/(2x)) = 2.5 Now we can solve for x: Multiply both sides by Show more…

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An athlete in training rides his bike 50 mi and then immediately follows with a 20 - mi run. The total workout takes him 2.5 hr . He also knows that he bikes about twice as fast as he runs. Determine his biking speed and his running speed. Part 1 of 2 His running speed is mph . Part 2 of 2 His biking speed is mph .