SOLUTION: Dennis can reach his work place in 3/4 of an hour by riding a bicycle.When he takes the bus,the trip takes 1/4 hour.If the bus travels 20kph faster than Dennis rides his bike,how f

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Question 838347: Dennis can reach his work place in 3/4 of an hour by riding a bicycle.When he takes the bus,the trip takes 1/4 hour.If the bus travels 20kph faster than Dennis rides his bike,how far is it from his workplace?if x represents Dennis' speed when he rides his bike,how will you represent the speed of the bus?What can you say about th distance traveled by Dennis' bike and the bus while going to his workplace?Write the equation that you will use to find the distance between his home and his workplace.
Found 2 solutions by stanbon, richwmiller:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Dennis can reach his work place in 3/4 of an hour by riding a bicycle.
When he takes the bus,the trip takes 1/4 hour.
If the bus travels 20kph faster than Dennis rides his bike,how far is it from his workplace?
if x represents Dennis' speed when he rides his bike,how will you represent the speed of the bus?:: x+20 kph
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What can you say about th distance traveled by Dennis' bike and the bus while going to his workplace?:: The distances are equal.
Write the equation that you will use to find the distance between his home and his workplace.
Dennis on bike DATA:
time = 3/4 hr ; rate = x kph ; distance = (3/4)x km
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Dennis on bus DATA:
time = 1/4 hr ; rate = x+20 kph ; distance = (1/4)x + 5 km
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Equation:
distance = distance
(3/4)x = (1/4)x + 5
(2/4)x = 5
x = 20/2 = 10 km
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Cheers,
Stan H.
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Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website!
3/4x=1/4y,
y=x+20
x = 10, y = 30