A train covers 500 km in 5 hours and 30 mins. How much distance would it cover in 2 hours
Answers
Answer
Distance the train will travel in 2 hrs = 2000/11 km or 181.82 km
Explanation :
Given :
- Distance travelled by the train = 500 km
- Time taken by the train to travel the distance = 5 hours and 30 mins
To find :
- Distance the train will cover in 2 hours
Knowledge required :
- Formula to find speed :-
⠀⠀⠀ Speed = d/t
- Formula to find distance :-
⠀⠀⠀Distance = S × t
[where : d is the distance travelled by the body, s is the speed of the body and t is the time taken by the body.]
Solution :
Firstly, convert the time from 5 hours and 30 mins into hours.
As we know,
• 1 min = 1/60 hr
Divide 30 mins by 60 to convert it from mins to hr.
⠀⠀⠀⇒ 30 mins = 30/60 = 3/6 = 1/2 ⠀⠀⠀= 0.5 hr
Now, add 0.5 hr to 5 hrs.
Time = 5 + 0.5 = 5.5 hr
Time taken by the train = 5.5 hr
Now, we will find the speed of the train.
⠀⠀⠀⇒ Speed = d/t
⠀⠀⠀⇒ Speed = 500/5.5
⠀⠀⠀⇒ Speed = (500 × 10)/55
⠀⠀⠀⇒ Speed = 5000/55
⠀⠀⠀⇒ Speed = 1000/11
⠀⠀⠀⇒ Speed = 90.91
Speed of the train = 1000/11 km/hr or 90.91 km/hr
Now, we will find the distance the train will travel in 2 hrs.
⠀⠀⠀⇒ Distance = S × t
⠀⠀⠀⇒ Distance = 1000/11 × 2
⠀⠀⠀⇒ Distance = 2000/11
⠀⠀⠀⇒ Distance = 181.82
Distance the train will travel in 2 hrs = 2000/11 km or 181.82 km
This is simple cross multiplication
500km=5.30 hrs
X
? =2 hrs
=2x500 divided by 5.30
=1000/5.30
=188.6792
The train will cover 188.67km in 2 hrs