Mary drove from Amity to Belleville. Find the distance between these two cities.

Question

Mary drove from Amity to Belleville at a speed of 50 mph. On the way back, she drove at 60 mph. The total trip took 4 and 2/5 hours of driving. Find the distance between these two cities.

Answer 1

From Amity to Belleville

 

Distance = x

 

speed = 50 mph

 

time =t

 

 

Distance = speed * time

      

x = 50* t=50t    _________equation 1

 

For return journey

 

Distance = x

 

speed = 60mph

 

t= 4 2/5 -t= 22/5 -t=4.4 -t

 

t= 4.4 -t

 

x= 60*(4.4 -t) _______equation 2

 

equate equation 1 and equation 2

 

50 t = 60(4.4 -t)

 

50t = 264 -60t

 

110t = 264

 

t= 2.4 hr

 

substitute t=2.4 hr in eq 1

 

x= 50 t=50(2.4)= 120

 

So distance between two cities = 120 m