Amadeus could travel 760 miles in twice the time it took his nemesis Salieri to travel 220 miles. If Amadeus's rate exceeded that of Salieri by 40 miles per hour, find the rates and times of both men.

Answer 1

A= A's rate and S=S's rate ; T= time S traveled 220 miles

A=S+40

A(2T)=760 =>AT=380

ST=220

Therefore A/S=19/11 i.e. 19S=11A and S=11A/19

Substitute:

11(S+40)=19S

8S=440

S=55 and A=95