An arithmetic sequence is a sequence of numbers a1, a2, a3,... where an - an-1 has the same value for every n. For example, 2, 4, 6, 8, 10,....is such a sequence where the difference between any 2 consecutive numbers is 2. Given, a, b, c, d, and e are consecutive numbers in such a sequence and a + b + c + d + e = 80. What is the value of c?
A train traveling at 30 kilometers per hour, passes through a tunnel in 4 minutes. A second train, twice as long as the first one, traveling at the same speed, takes 6 minutes to pass through the tunnel. What is the length of the second train?
Divide ^@BD700^@ into two parts such that the simple interest on the first part for ^@9^@ years at ^@18\%^@ per annum is equal to the simple interest on the second part for ^@3^@ years at ^@6\%^@ per annum.