Taylor and Anya live 36 miles apart. On Some Saturdays. They ride theirs Bikes toward each other's houses and meet somewhere in between. Taylor is very Consistent rider she finds that her speed is always close to 12.5 miles per hour. Anya rides more slowly than Taylor, but she is working out and is becoming a faster rider as the weeks go by. On a Saturday in July, the two friends set out on their bikes at 8 a. m.Taylor rides at 12.5 per hour and Anya rides at 5.5 miles per hour. After one hour, how far apart are they? Show your work and Explain your Answer. At What Time will the two friends meet?How do you know? Show your Work and Explain your Answer.

Taylor and Anya will meet at 10:00 a.m.

Step-by-step explanation:

If Taylor rides at 12.5 mph (miles per hour), and Anya rides at 5.5 mph (miles per hour), then we need to combine these ratios to see how far apart they will be in one hour.

12.5 mph + 5.5 mph = 18 miles

Therefore, after an hour, Anya and Taylor are 18 miles apart.

Since there houses are 36 miles apart, and 18 x 2 = 36, then we can infer that it will take two hours, two times the time it took for them to finish halfway of their journey, for them to meet.

8:00 a.m. + 2 hours = 10:00 a.m.

Therefore, Taylor and Anya will meet at 10:00 a.m.

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.