Question

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

Answer 1

Answer:

Step-by-step explanation:

Let m and r represent the maximum speeds of Malcolm and Ravi in km/h,

the average of their speeds was 260 kph = (m + r)/2 = 260

double Malcolm's speed is 80 kph more than Ravi's = 2m = r + 80

an expression for r from the second equation =2m - 80 = r

the result of substituting that into the first = (m + 2m - 80)/2 = 260

multiply by 2  and add 80 and divide by 3

3m - 80 = 520

m = 200

substitute the value of m into the expression for r

2·200 - 80 = r = 320

Malcolm's maximum speed was 200 km/h.

Ravi's maximum speed was 320 km/h.