A train travels at an average speed of 30 m/s.
a) Express its average speed in km/h
b) Find the time taken by the train to travel 750 km.
c) If the train sets off at 09 00 find the arrival time of the train to reach a station 36 km
away.
Answers
Step-by-step explanation:
Given :-
A train travels at an average speed of 30 m/s.
To find :-
a) Express its average speed in km/h
b) Find the time taken by the train to travel 750 km.
c) If the train sets off at 09: 00 find the arrival time of the train to reach a station 36 km away.
Solution :-
Given that:
a)
The average of speed of the train = 30 m/s
We know that
1 km = 1000 m
1 hour = 60 minutes
1 minute = 60 seconds
1 hour = 3600 seconds
30 m/s = 30× 3600/1000 km/hr
=> 30 m/s = 108000/1000 km /hr
=> 30 m/s = 108 km / hr
30 m / s = 108 km / hr
b)
The distance travel by the train = 750 km
We have , The speed of the train = 108 km /hr
We know that
Distance = Speed × Time
=> Time = Distance / Speed
=> Time = 750 / 108
=> Time = 125/18
=> Time = 6 17/18 hours
The time taken by the train to travel 750 km is
6 17/18 hours or 6.9 hours
c)
The distance travel by the train = 36 km
The speed of the train = 108 km / hr
We know that
Distance = Speed × Time
=> Time = Distance / Speed
=> Time = 36/108
=> Time = 1/3 hours
=> Time = 60/3 minutes
=>Time = 20 minutes
Time taken by the train to reach the station of 36 km is 20 minutes
If the time set off at 09:00 then it will reach the station at 09:20
Answer:-
a) 30 m/s = 108 km /hr
b)The time taken by the train to travel 750 km is
6 17/18 hours or 6.9 hours
c) If the time set off at 09:00 then it will reach the station at 09:20
Used formulae:-
- Distance = Speed × Time