Question 164399
A bus is traveling at 50 mph then reduces its speed to 40 mph. The 220 mile trip takes 5 hrs. How long does it travel at each speed? Show equation.

Let D = distance

Let r = rate = speed

Let t = time (in hours)

rt = D

Bus going at 50mph

50t = 220....This is the equation for the bus going at 50 mph.

To find the time for this first case, divide both sides by 50.

t = 220/50

t = 4.4 hours

If the travels at 50 mph, it will take the bus 4.4 hours to reach 220 miles.

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For bus going at 40mph:

rt = D

40t = 220....This is the equation for the bus going at 40 mph.

Divide both sides by 40 to find the time it takes the bus to reach 220 miles at 40 miles per hour.

t = 220/40

t = 5.5 hours

Is this clear?