Question 635156
if it took vehicle A 114 miles per hour to catch up to vehicle B on a 4 mile
 stretch.
 How fast was vehicle B going if both vehicles were 500 feet apart?
:
let b = vehicle B's speed in ft/sec
:
Find how long for vehicle A to cover 4 miles
{{{4/114}}} * 3600 = 126.3 seconds
:
Find how many ft/sec at 114 mph
{{{(114*5280)/3600}}} = 167.2 ft/sec
:
A has to overtake vehicle B in 126.3 sec
{{{500/(167.2-b)}}} = 126.3
500 = 126.3(167.2-b) 
500 = 21117.36 - 126.3b
126.3b = 21117.36 - 500
126.3b = 20617.36
b = 20617.36/126.2
b = 163.24 ft/sec, speed of the car B
Change speed to mph
{{{(163.24*3600)/5280}}} = 111.3 mph speed of B





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