A train cross 110 m long plateform in 13.5 s and 205 m long platform in 18.25 s.speed of train=?
Answers
Answer:
total distance is 110+205=315
totak time is 13.5+18.25=31.75
speed is=distance/time
315/31.75=9.92m/s
Answer: 20 m/s
Step-by-step explanation:
Speed of the train is equal in crossing both platform .
But we don't know the length of the train. First we have to find the length of the train.
Let the length of the train= X
Spee= distance/ time
(X+110)/13.5 = (X+205)/18.25
Cross multiply,
(X+110)×18.25 = (X+205)×13.5
18.25X+(110×18.25)= 13.5X+(205×13.5)
18.25X + 2007.5 = 13.5X + 2767.5
Take 'X' variables on one side
18.25 - 13.5X = 2767.5 - 2007.5
4.75 X=760
X = 760/4.75
X= 160
Length of the train is 160
Distance= lenth of train+ platform
= 160+110
=270
Speed of the train = distance/time
= 270/13.5
= 20 m/s