SOLUTION: DaMarcus and Fabian live 23 miles apart and play soccer at a park between their homes. DaMarcus rode his bike for three-quarters of an hour and Fabian rode his bike for half an hou
Algebra.Com
Question 1122912: DaMarcus and Fabian live 23 miles apart and play soccer at a park between their homes. DaMarcus rode his bike for three-quarters of an hour and Fabian rode his bike for half an hour to get to the park. Fabian’s speed was six miles per hour faster than DaMarcus’ speed. Find the speed of both soccer players.
Found 2 solutions by Boreal, josmiceli:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
d=velocity*time
D rides x mph for 0.75 hr or 0.75x for d
F rides (x+6) mph for 0.5 hr for (x/2)+3 d
0.75x+0.5x+3=23 miles, so 1.25x=20 miles
x=16 mph for D, and he rides 12 miles in 3/4 hour
x+6=22 mph for F, and he rides 11 miles in 1/2 hour.
23 miles
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Damarcus’s distance from town
Let = Damarcus’s speed
————————
Fabian’s equation:
(1)
Damarcus’s equation:
(2)
———————————-
Plug (2) into (1)
(1)
Multiply both sides by
(1)
(1)
(1)
And
—————————-
Demarcus’s Speed is 16 mi/hr
Fabian’s speed is 22 mi/hr
—————-
Check:
(2)
(2) mi
Now check (1) by finding
RELATED QUESTIONS
Effie and kirsten live 23.6 km apart. They decided to cycle to the pool at the park,... (answered by ankor@dixie-net.com)
two families who live 80 km apart met at a park between their homes for a picnic. How... (answered by ankor@dixie-net.com)
Dave and Kyle live five miles apart. They decide to meet for dinner in one-half hour at a (answered by Theo)
Connie and Craig live 1 3/4 miles apart Connie walk at a rate of 3 mph and Craig walks 4... (answered by ikleyn,josgarithmetic)
Eddie and Alicia live 20 miles apart and started riding their bikes towards each other at (answered by stanbon)
two families who lived 63 miles apart met at a park between their homes for a picnic. how (answered by rothauserc,josmiceli)
My friend and I live 120 miles apart. We decided to ride our bikes to meet one another... (answered by TimothyLamb,Alan3354)
Two families leave their homes at the same time to meet for lunch. The families live 210... (answered by addingup)
Sisters Helen and Anne live 332 miles apart. For Thanksgiving, they met at their other... (answered by josgarithmetic,timofer,MathTherapy)