<u>Answer</u>:
See below!
<u>Explanation</u>:
- distance = speed * time
- speed = distance/time
- time = distance/speed
<u>equation for distance</u>:
Lets Ben hours be x and Landon hours be y,
60x + 56y = 820 .........equation 1
<u>equation for time</u>:
x + y = 14 .........equation 2
Make x the subject:
60x + 56y = 820
x = (820 - 56y)/60 ..........equation 3
x + y = 14
x = 14 - y ........equation 4
Solve equation 3 and 4 simultaneously:
- 14 - y = (820 - 56y)/60
- 60(14 - y) = 820 - 56y
- 840 - 60y = 820 -56y
- 840 - 820 = -56y + 60y
- 20 = 4y
- y = 5
[ Therefore Landon drove 5 hours ]
Extra's further investigated:
if y = 5
- x = 14 - y
- x = 14 - 5
- x = 9
[ Therefore Ben drove 9 hours ]