A train crosses an electric pole in 5 seconds and a railway bridge of 600 m long in 35 seconds. Find the speed of the train in km/h and length of the train?
Answers
Answer:
Step-by-step explanation:
Given:
Time to cross the pole = 5 sec
Time to crosses the tunnel = 20 sec
Formula used:
Speed = Distance/Time
Calculation:
Let the length of the tunnel be x m and the length of the train be y m
Time = Distance/Speed
⇒ 5 = (y/90)
⇒ y = 450 m
Time to crosses the tunnel = Distance/Speed
⇒ 20 = (y + x)/90
⇒ 20 × 90 = (450 + x)
⇒ x = 1800 - 450 = 1350
∴ The length of the tunnel is 1350 m.
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Answer:
speed =72 km/h ; length of train = 100m
Step-by-step explanation:
Let the speed of train be x km/sec and length of train be y m.
Using the formula, speed =Distance/
Time
from first condition, we get
x =y/5
5x -y=0 ... (1)
From second condition, we get
x =600+y/35
35x- y =600 ... (2)
Subtracting equation (2) from (1),
35x -y =600 ... (2)
5x -y =0 ... (1)
--------------------
30x =600
x = 600/30
x=20
substituting x =20 in equation (1), we get
5(20) - y= 0
= 100 - y =0; y =100
Speed of the train is 20m/sec. Let us convert the speed in km/h.
= 20m/sec =20 ×3600/1000 km/h
=72 km/h.
Ans. Speed of the train is 72km/h and length of the train is 100 meter