## Malcom and Ravi races each other. The average of their maximum speeds was 260 km/h. If doubled, Malcom’s maximum speed would be 80 km/h more

Question

Malcom and Ravi races each other. The average of their maximum speeds was 260 km/h. If doubled, Malcom’s maximum speed would be 80 km/h more than Ravi’s maximum speed. What were Malcom’s and Ravi’s maximum speeds

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2 hours 2021-09-15T01:21:24+00:00 1 Answer 0

Malcom’s maximum speed is 200 km/h

Ravi’s maximum speed is 320 km/h

Step-by-step explanation:

First we have to make two equations one that represents the maximum average speed of the 2 together and another that represents the relationship between their maximum speeds

R = Ravi’s maximum speed

M = Malcom’s maximum speed

(R + M) /2 = 260 km/h

2M = R + 80 km/h

we are going to solve for M in the first equation

(R + M) /2 = 260 km/h

(R + M)  = 260 * 2

M = 520 – R

we replace M with (520 – R) in the second equation

2M = R + 80 km/h

2(520 – R) = R + 80

1040 – 2R = R + 80

1040 – 80 = R + 2R

960 = 3R

960/3 = R

320 = R

replace R with its value in the first equation

M = 520 – R

M = 520 – 320

M = 200

Malcom’s maximum speed is 200 km/h

Ravi’s maximum speed is 320 km/h