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 were Malcolm's and Ravi's maximum speeds?

is it 35

step-by-step explanation:

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step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

the answer to this is a. a^2 + b^2 = c^2