rosa rides on the bus for 24 minutes and then walks for 12 minutes in order to get to work if the bus travels at 40mph and rosa walks at 6mph then how far does rosa live from.work

Answer 1

See summary at bottom: **

The total distance traveled is the sum of the distance traveled by bus and by walking:

D_total = D_{by bus} + D_walking

The distance traveled by bus is the velocity of the bus times time - but BE CAREFUL. They gave you velocity in miles per HOUR but the time given was in MINUTES. Convert time to hours by dividing by 60 (if this doesn't make sense schedule time with a tutor to learn dimensional analysis....

t_h = t_m ÷ 60

So time traveled by bus in hours is 24 minutes times (1 hour / 60 min)

t_bus = 24 min • (1hr/60 min) = 24/60 = 2/5 hr

S_bus = 40 mph

Therefore D_{by bus}= S_bus • t_bus = 40 m/hr • 2/5 hr = 16 mi

Similarly

t_walking = 12 min • (1hr/60 min) = 12/60 = 1/5 hr

S_walking = 6 mph

Therefore D_walking= S_walking • t_walking = 6 m/hr • 1/5 hr = 6/5 mi

*** summary:

Therefore the total distance is:

D_total = D_{by bus} + D_{walking =} S_bus • t_{bus +} S_walking • t_{walking =} 40 m/hr • 2/5 hr + 6 m/hr • 1/5 hr

= 16 mi + 6/5 mi = 17 1/5 mi

Answer 2

distance = rate * time

24min*40mph is the distance she travels on the bus

12min*6mph is the distance she walks.

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