Algebra 2 word problem! Please help!?
You can jog at a speed of 8 miles per hour, and run at a speed of 12 miles per hour. If you traveled 6 miles in 40 minutes, find the amount of time you jogged as well as the amount of time you ran.
You can jog at a speed of 8 miles per hour, and run at a speed of 12 miles per hour. If you traveled 6 miles in 40 minutes, find the amount of time you jogged as well as the amount of time you ran.
Comments
Distance jogged—d:
d/8 + (6 - d)/12 = 2/3
3d + 2(6 - d) = 16
3d + 12 - 2d = 16
d = 4
No. of minutes jogging:
= 60(4 mi/8 mph)
= 60(1/2 hour)
= 60/2 or 30 minutes
No. of minutes running:
= 60([6 - 4 mi]/12 mph)
= 60(2 mi/12 mph)
= 60(1/6 hour)
= 60/6 or 10 minutes
Answer: 30 minutes jogging; 10 minutes running
6=8x+12(2/3 - x) Where x is the time in hours.
6= 8x + 8 -12 x
6= -4x +8
4x=2
x=1/2
You jogged for 1/2 an hour, and ran for 10 minutes.
I will give you this answer if you give me a pic of your bare feet first.