Question

a train travelling at the rate 66.6 km/h passes a hole in 9 seconds and a platform in 29 seconds what is the length of the platform

Answer 1

Answer:

370 m

Step-by-step explanation:

Find the distance traveled in 1 second:

Given speed = 66.6 km/h

1 hour = 66.6 km = 66600 m

1 min = 66600 ÷ 60 = 1110 m

1 sec = 1110 ÷ 60 = 18.5 m

Find the length of the train:

1 second = 18.5 m

9 seconds = 18.5 x 9 = 166.5 m

Find the distance traveled in 29 seconds

1 second = 18.5 m

29 seconds = 18.5 x 29 = 536.5 m

Find the length of the platform:

Length of the platform = 536.5 - 166.5 = 370 m

Answer: The length of the platform is 370 m

Answer 2

speed of train = 66.6 km/h

it means, train moves 66.6 km in 1 hour

or, train moves 66600 m in 3600 seconds

or, train moves 66600/3600 m in 1 seconds

or, train moves 111/6 m in 1 seconds

or, train moves 111/6 × 9 = 333/2 = 166.5 m in 9 seconds

so, length of train = distance travelled by train in 9 seconds = 166.5 m

let length of platform is L

then, length of platform + length of train = speed of train × time taken to cross platform
= 66.6 × 5/18 × 29
= 536.5 m

so, length of platform + 166.5 m = 536.5 m
length of platform = 536.5 - 166.5 = 370m