A bus averages 2 miles per hour faster than a motorcycle. If the bus travels 165 miles in the same time it takes the motorcycle to travel 155 miles, then what is the speed of each?

The bus travels at 33 miles per hour while the motorcycle travels at 31 miles per hour

Step-by-step explanation:

Represent the bus average speed with x and the motorcycle average speed with y

Given

Distance covered by bus = 165 miles

Distance covered by motorcycle in same time = 155 miles

Required

Determine the speed of each

Average Speed is calculated as;

Since the two are measured with the same time, represent time with T

For the bus

becomes

Make T the subject of formula

For the motorcycle

Make T the subject of formula

Since, T = T; we have that

Cross Multiply

Substitute

Open Bracket

Collect Like Terms

Divide both sides by 10

Recall that

Hence;

The bus travels at 33 miles per hour while the motorcycle travels at 31 miles per hour

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step-by-step explanation:

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