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Malcolm and Ravi raced each other. The average of their maximum speeds was 260 km/h. If doubled, Malcolm's maximum speed would be 80 km/h more than Ravi's maximum speed. What is Malcolm's maximum speed?

Malcolm and Ravi raced each other. The average of their maximum speeds was 260 km/h. If doubled, Malcolm's maximum speed would be 80 km/h more than Ravi's maximum speed. What is Malcolm's maximum speed?A) 140 km/h
B) 160 km/h
C) 180 km/h
D) 200 km/h

Final answer:Malcolm's maximum speed is 200 km/h, which is determined by solving the system of two equations that describe the average maximum speed and the relationship between their speeds when Malcolm's speed is doubled.Explanation:The question involves solving a system of equations based on the given conditions of Malcolm's and Ravi's maximum speeds. Their average maximum speed is given as 260 km/h, and when Malcolm's maximum speed is doubled, it is 80 km/h more than Ravi's maximum speed. By setting up equations and solving for the variables, we can find Malcolm's maximum speed.Let Malcolm's speed beMkm/h and Ravi's speed beRkm/h. The first equation based on the average speed is:(M + R) / 2 = 260This simplifies to:M + R = 520The second condition gives us:2M = R + 80By solving these two equations simultaneously, we find that Malcolm's maximum speed is 200 km/h, which corresponds to option D....

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