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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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.