Tiara and juan competed is a 36 mile bike race. Tiara biked 2/3 of the race before stopping for water and Juan biked 5/12 of the race before stopping. How many more miles did Tiara bike than Juan before stopping for water?

Respuesta :

Answer: 9 miles.

Step-by-step explanation:

1. You know that :

- Tiara biked 2/3 of the race before stopping for water.

- Juan biked 5/12 of the race before stopping.

2. Then, Tiara biked:

(2/3)*36 miles=24 miles

3. And Juan biked:

(5/12)*36 miles=15 miles

4. Therefore, to calculate the amount of miles Tiara biked than Juan before stopping for water you must make the following subtraction:

24 miles-15 miles=9 miles

Answer:

9 miles

Step-by-step explanation:

We know that the race is of 36 miles and Tiara biked 2/3 of the race before stopping for water and Juan biked 5/12 of the race before stopping.

No. of miles Tiara biked before stopping = [tex]\frac{2}{3}[/tex] × [tex]36=24[/tex]

No. of miles Juan biked before stopping =  [tex] \frac{5} {12} [/tex] × [tex] 36 = 15 [/tex]

Therefore, number of miles Tiara biked more than Juan before stopping for water = 24 - 15 = 9