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2 years ago

Mr. Wu rides his bike at 6 mph to the bus station. He then rides the bus to work, averaging 30 mph.

Mathematics

1 answer:

pshichka [43]2 years ago

5 0

Answer:

26 mi

Step-by-step explanation:

Convert 20 min to hrs: 20/60 = 1/3 hr

Let t = time on the bike

then

t-(1/3) = time on the bus

Write a dist equation Dist = speed * time:

Bike dist + bus dist = 26 mi

6t + 30[t-(1/3)] = 26

6t + 30t - 10 = 26

36t = 26 + 10

36t = 36

t = 1 hr on the bike

6 mph for 1 h = 6 mi from house to the bus station

Check solution by finding the distance

6(1) + 30(2/3) =

6 + 20 = 26 mi

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