SOLUTION: when chris drives his car to work it takes 1/2 hour. when he takes the bus it takes 3/4 hour. the average rate of the bus is 12 mph less than his rate when driving. find the ditanc

Question 838544: when chris drives his car to work it takes 1/2 hour. when he takes the bus it takes 3/4 hour. the average rate of the bus is 12 mph less than his rate when driving. find the ditance he travels to work.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Assign variables to whatever you not know.
Use RT=D and fill in a data table.

__________________speed___________time_________distance
CAR_________________r_____________1/2__________r(1/2)
BUS_______________(r-12)__________3/4_________(r-12)(3/4)

The car and the bus method use the same distance to reach the same destination, .
Solve for the rate first, and then you can compute the distance. Start the equation solving by multiplying both sides by 4:

-
Since the distance is , this is miles
RELATED QUESTIONS
when chris drives his car to work the trip takes 1/2hr when he rides the bus it takes... (answered by rothauserc)

When Mr. Gomez drives his car to work, the trip takes 30 minutes. When he rides the bus,... (answered by josmiceli)

Johnny gets to work in 1/2 hour when he drives his car. Riding his bike (by the same... (answered by ankor@dixie-net.com)

Dennis can reach his work place in 3/4 of an hour by riding a bicycle.When he takes the... (answered by stanbon,richwmiller)

When Fritz drives to work his trip takes 36 minutes, but when he takes the train... (answered by josgarithmetic,jorel555)

When Fritz drives to work his trip takes 36 minutes, but when he takes the train... (answered by josgarithmetic)

george can ride his bike to work in 3/4 hour. if he takes his car to work, the trip takes (answered by lwsshak3,josmiceli)

the average rate of a bus is 15 miles per hour more than that of an average truck. the... (answered by stanbon)

Jeff can bike to work in � of an hour. When he takes the bus, the trip takes 15 minutes.... (answered by stanbon)