SOLUTION: 23. Robert can drive to work in 45 min, whereas if he decides to take the bus, the same trip takes 1 hr 15 min. If the average rate of the bus is 16 mph slower than his driving rat

Question 871073: 23. Robert can drive to work in 45 min, whereas if he decides to take the bus, the same trip takes 1 hr 15 min. If the average rate of the bus is 16 mph slower than his driving rate, how far does he travel to work?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let driving speed be x
so distance traveled = 0.75x
bus speed = (x-16)
time = 1.25 hours
distance = 1.25(x-16)
distance is same
0.75x=1.25(x-16)
0.75x=1.25x-20
0.50x=20
x= 40 mph driving speed
bus speed = 40-16 = 24 mph
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