Math problem

Question

At 6 am a bus left Dover at 40 miles per hour. a delivery van left Dover 1 hr later on the same route at 55 mile per hour. At what time did the van take over the bus?

Answer 1

d=r*t

d=40*t bus

d=55(t-1) van

since they both equal d you equate them

40t=55(t-1)

40t=55t-55

40-55t=-55

-15t=-55

15t=55

t=55/15

t=3 10/15=3 2/3 hours or 3 hours 40 minutes  (bus time)

the van's time is 3 hours 40 minutes - 1 hour=2 hours 40 minutes

the van left at 7 am and traveled for 2 hours 40 minutes

7 am+2 hours 40 minutes takes you to 9:40 am