Question

Ast week, Shelly rode her bike a total of 30 miles over a three-day period. On the second day, she rode 4 5 the distance she rode on the first day. On the third day, she rode 3 2 the distance she rode on the second day. How many miles did Shelly ride on each day? Select your answers from the drop-down lists. On the first day, Shelly rode miles. On the second day, Shelly rode miles. On the third day, Shelly rode miles.

Answer 1

Answer: On the first day, Shelly rode 10 miles on first day.

On the second day, Shelly rode 8 miles.

On the third day, Shelly rode 12 miles.

Explanation:

Let x = distance rod eon first day.

Shelly rode her bike a total of 30 miles over a three-day period.

Then as per given,

Distance rode on second day =
`\frac45x`

Distance rode on third day
`=\frac32*\text{ Distance rode on second day}`

`=\frac32*\frac45x=(6)/(5)x`

Total distance rode =
`x+\frac45 x+\frac65x=30`

`\Rightarrow\ (5x+4x+6x)/(5)=30\\\\\Rightarrow\ (15x)/(5)=30\\\\\Rightarrow\ 3x=30\\\\\Rightarrow\ x=(30)/(3)\\\\\Rightarrow\ x=10`

Hence, She rode 10 miles on first day.

Distance rode on second day =
`\frac45*10=4*2=8\text{ miles}`

Distance rode on third day
`=(3)/(2)*8=3*4=12\text{ miles}`