Question

omar left his house and rode his bike into town at 6mph. Along the way he got a flat tire so he had to turn around and walk his bike back to his house traveling 2mph. if the trip down and back took 16hours, how many miles did he get before his tire went flat?

Answer 1

Answer: He get 24 miles before his tire went flat.

Step-by-step explanation:

Let the number of miles he get before his tire went flat be 'x'.

Speed at which he left his house and rode his bike into town = 6 mph

Speed at which he got a flat tire so he had to turn around and walk his bike back to his house = 2 mph

Total time taken by the trip down and back = 16 hours

According to question,

$\dfrac{x}{6}+\dfrac{x}{2}=16\\\\\dfrac{x+3x}{6}=16\\\\\dfrac{4x}{6}=16\\\\x=\dfrac{16\times 6}{4}\\\\x=4\times 6\\\\x=24\ miles$

Hence, he get 24 miles before his tire went flat.

Answer 2

6mph+(-2mph)=5mph+11mph=16mph ser up a equation six miles per hour minus negetive 2 miles per hour gives you 5 miles per hour plus 11 miles per hour gives you 16 miles per hour