SOLUTION: A cyclist traveled at a rate of 24 mph to visit a nearby town. The cyclist averaged 18 mph on the return trip. If the round trip took 4.9 hours, find the distance to the nearby t
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Question 102989: A cyclist traveled at a rate of 24 mph to visit a nearby town. The cyclist averaged 18 mph on the return trip. If the round trip took 4.9 hours, find the distance to the nearby town.
d=rt
d=(24-18)4.9
d=(6)4.9
d=29.4
I'm concern whether or not my answer is correct.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
If you're concerned, always check your answer.
You got d=29.4 miles
Calculate and
= 1.225 hrs.
= 1.633 hrs.
= 2.858 hrs.,does not equal the 4.9 hr total.
Distance = Rate * Time
When traveling to the town
1.
When traveling back from town
2.
You know that
From equation 1, find a value for T[1]
1.
Multiplicative inverse of 24.
From equation 2, find a value for T[2]
1.
Multiplicative inverse of 18.
Plug those values into your total time equation,
Substitute
Multiply by the product of 18*24 to remove denominators.
Simplify.
Multiplicative inverse of 42
D=50.4 miles
Check your answer
1.
=2.1 hrs.
2.
=2.8 hrs.
Good answer.
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