Question

11. Benito and Tyler are painting opposite sides of the same fence that is 150 feet long. Tyler has already painted 19.5

Answer 1

Answer:

(a) 4.875 minutes

(b) 1.86 minutes

Step-by-step explanation:

The length of fence = 150 feet.

Rate of painting by Tyler = 11ft/min

Rate of painting by Benito = 15ft/min

(a) Let after time t minutes  both have painted equal number of feet.

As Taylor has already painted 19.5 feet. So,

$15t=19.5+11t$

$\Rightarrow 4t=19.5$

$\Rightarrow t=\frac{19.5}{4}$

$\Rightarrow t=4.875$ minutes.

(b)The length of fencs to be painted by Tylor=150-19.5=130.5 feet.

So. time taken by Tylor to finish the painting

$=\frac{130.5}{11}=11.86$ minutes.

Time taken by Benito to finish the painting

$=\frac{150}{15}=10$ minutes

Here, tome taken by Benito is less, so Benoto finishes first.

Benoto will get the time to rest for 11.86-10=1.86 minutes.