Rsm question need ! a cyclist rides into the country at an average speed of 10 miles per hour. when his bicycle gets a flat tire, he walks it back at an average speed of 3 miles per hour. if he returns home 6 and a half hours after he starts, how far into the country does he go?

Let x = distance traveled (not round trip)

x/10 + x/3 = 6.5

13/30x = 6.5

x = 15 miles

15 miles

i would have to say it is c.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3