How do you solve this word problem?

Question

20. Tenth Grade--aka sophomore-- (harder): Aaron, Beth, Candance, Darvel, and Emil ran around a track as part of a fundraiser for their school. Aaron ran first, and then when he was tired, beth ran. When beth got tired, Candace ran, and so on. By the end of the fund raiser, they had run a total of 30 miles. Aaron and beth combined ran 40 percent of the total distance, beth and candace combined ran 34 percent of the total distance. Candace and darvel combined ran 40 percent of the total distance and darvel and emil combined ran 41 percent of the total distance. How far did Candace run?

Answer 1

A + B + C + D + E = 30

A + B = 0.40x

B + C = 0.34x 

C + D = 0.40x 

D + E = 0.41x 

 

Can you solve the system and answer?