Question 891545
he lengths of two trains are 220metres,180metres respectively.
 They overtake together in opposite direction in 16 seconds and
 they overtake in same direction in 1 minute.
 find the speeds of the two trains
:
let x = speed of the 220 m train in meters/min
let y = speed of the 180 m train  "  "  "
:
Going opposite direction, their speeds are additive
Going the same direction, their relative speed is their difference
: 
total distance for the trains to clear each other 220 + 180 = 400 m
:
Write distance equation for each scenario, dist = time * speed
1(x-y) = 400
x - y = 400
and
{{{16/60}}}(x + y) = 400
multiply both sides by 60
16(x + y) = 24000
divide both sides by 16
x + y = 1500
:
Use elimination with these two equations
x - y = 400
x + y = 1500
--------------Adding eliminates y find x
2x = 1900
x = 1900/2
x = 950 m/min 
Find y
950 + y = 1500
y = 550 m/min
:
Chance these to km/hr for the two trains
{{{(950*60)/1000}}} = 57 km/hr
{{{(550*60)/1000}}} = 33 km/hr