The speed of a bicyclist is 10 mph faster than the speed of a walker. If the bicylist travels 26 miles in the same amount of time that the walker travels 6 miles, find the speed of the bicyclist.
2007-02-06 10:33:19 · 7 answers · asked by Anonymous in Science & Mathematics ➔ Physics
given:
Vb = Vw + 10
since t = V/d
t = Vb/26
t = Vw/6
so:
Vb/26 = Vw/6
Vb = 13/3Vw
combining equations:
13/3Vw = Vw + 10
10/3Vw = 10
Vw = 3 mph
Vb = 3 + 10 = 13 mph
check
26 = 13 * t
t = 2 hours
6 = 3 * t
t = 2 hours
2007-02-06 10:43:00 · answer #1 · answered by Patrick 5 · 0⤊ 0⤋
The bicyclist is going 13 mph, and the walker is going 3 mph.
Have a nice day!
2007-02-06 18:36:53 · answer #2 · answered by Y-Knot 3 · 0⤊ 0⤋
speed of the bycyclist: 10+x
speed of the walker: x
x=vt
since the times are the same, the x/v of the bycyclist is equal to the x/v of the walker
x/v = x'/v'
26/(x+10) = 6/x
26x = 6x+60
20x=60
x= 3
speed of the walker 3mi/hr
speed of the cyclists is 13mi/hr
2007-02-06 18:40:02 · answer #3 · answered by 7 · 0⤊ 0⤋
3 and 13 mph
2007-02-06 18:35:50 · answer #4 · answered by Mitch H 4 · 0⤊ 0⤋
13 miles per hour
walker - walked 3 miles an hour for 2 hours (6 miles)
cyclist - peddled 13 miles an hour for 2 hours (26 miles)
2007-02-06 18:36:29 · answer #5 · answered by gman1602 3 · 0⤊ 0⤋
(w+10)T = 26 .... (w) T = 6
wT + 10T = 26
6 + 10 T = 26
10T = 20
T = 2 T = 2 hours
w (2) = 6
w = 3
2007-02-06 18:45:12 · answer #6 · answered by Holden 5 · 0⤊ 0⤋
13 and 3....do your own homework!
2007-02-06 18:37:09 · answer #7 · answered by Anonymous · 0⤊ 0⤋