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We have to use the type , Distance / Rate = Time , in order two create two equations. (30/r)=t+2 , (30/2r)=t-1 . Thus , we solve and we find r=5. B
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Bunuel
Two friends Peter and Michael participated in a 30-mile marathon. Peter takes two hours more than Michael to complete the marathon. If Peter doubles his actual rate, he would take 1 hour less than Michael to complete the marathon. Find Peter's actual rate of running the marathon in miles per hour.

A. 3
B. 5
C. 7.5
D. 8
E. 10

Use Ratios.

Michael's speed remains the same so his time taken is the same in both cases.

At his usual speed, Peter takes 2 hrs more than Michael.
At double his speed (when his time taken becomes half), Peter takes 1 hr less than Michael.
So in all, when his time taken becomes half, he takes 3 hrs less than he did previously. This means Peter usually takes 6 hrs.
Peter's usual speed = 30/6 = 5 mph

Answer (B)

This method is discussed in detail here:
https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2011/0 ... of-ratios/
https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2011/0 ... os-in-tsd/
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