a train 420m long is running at a speed of 90km/hr .if it crosses a platform in 45sec find the length of platform
Answers
First of all we will convert the speed to m/s
To convert to m/s, multiply with 5/18
90 km/hr = 90 × 5/18 m/s
→ 25 m/s
Now given that it crosses the platform in 45 seconds. Let the length of platform be x
So, total distance travelled by train = Length of platform + Length of train
= x + 420 m
Time = 45 seconds
Speed = 25 m/s
we know that, speed = distance/time
So, substitute the values of speed, distance and time
→ 25 = (x + 420)/45
→ x + 420 = 45 × 25
(By cross multiplication)
→ x + 420 = 1125
→ x = 1125 - 420
→ x = 705 m
Hence, the length of the platform is 705 m
Answer:
705
Step-by-step explanation:
let the lenght of platform be x
lenght of train= 420m
time= 45sec
speed=90km/hr
=90×5/18
=25m/s
a/q,
S×T=D
25×45=420+x
1125=420+x
1125-420=x
705=x
hence the length of platform is 705
.........666........