Problema Solution
Hi, I have two other problems I could use some help on please. I really appreciate it.
1) The speed of train A is 80 mph slower than the speed of train B. Train A travels 190 miles in the same time it takes train B to travel 230 miles. Find the speed of each train.
The speed of train A is ? mph.
The speed of train B is ? mph.
2)Elena bicycles 8km/h faster than Dennis. In the same time it takes Dennis to bicycle 36 km, Elena can bicycle 60 km. How fast does each bicyclist travel?
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Answers:
1.
vb= 460 mph (train A)
va=380 mph (train B)
2.
vd= 12 km/hr (dennis velocity)
ve= 20 km/hr (elena's velocity)
Solution:
1. ta=tb
va=vb-80
190/va=230/vb
190/(vb-80)=230/vb
solving for vb you will get:
vb= 460 mph
va=380 mph
2. ve= 8+vd
te=td
36/vd=60/ve
36/vd=60/(8+vd)
solving for vd you will get:
vd= 12 km/hr
ve= 20 km/hr