Verified answer

Answer:

distance = 42.5 km

Step-by-step explanation:

Von drives from his home to his office in 30 min. On number-coding days when he cannot bring his car, he takes the bus and the same trip takes 51 min. If Von's average driving rate is 35 km/h faster than the average rate of the bus, how far is his office from his home?

Given:

time by driving (t1) = 30 min = 30/60 hr

time by taking bus (t2) = 51 min = 51/60 hr

let x = average rate of bus

35 + x = Von's average driving rate

velocity = distance / time

v = d / t

d = vt

distance by driving = distance by taking a bus

(35 + x) × (t1) = (x) × (t2)

(35 + x) × (30/60) = (x) × (51/60)

solve for x

x = 50 km/hr

distance = (51/60 hr)(50 km/hr)

distance = 42.5 km