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Printimc
prealgebra intermediate
Problem
Yesterday Han drove 1 hour longer than Ian at an average speed 5 miles per hour faster than Ian. Jan drove 2 hours longer than Ian at an average speed 10 miles per hour faster than Ian. Han drove 70 miles more than Ian. How many more miles did Jan drive than Ian?
(A)
(B)
(C)
(D)
Solution
Set the time Ian traveled as , and set Han's speed as . Therefore, Jan's speed is We get the following equation for how much Han is ahead of Ian: The expression for how much Jan is ahead of Ian is: This simplifies to: However, this is just Substitute, from the first equation, as Therefore, the answer is , which is , or
Final answer
D