A man travels a certain by train in 4 hours and 12 minutes at the speed of 44.8 km per hour how much time will it take to cover the same distance, if the speed of the train is increased to 58.8 km per hour?
Answers
Given data :-
- A man travels a certain by train in 4 hours and 12 minutes at the speed of 44.8 km per hour.
- Case : if the speed of the train is increased to 58.8 km per hour..
To find :-
- Time taken by train to cover same distance with increase in speed.
Solution:-
Here, we know
→ 1 hour = 60 minute
Hence,
→ 12 minute = { 12/60 } hour
→ 12 minute = { 1/5 } hour
→ 12 minute = 0.2 hour
According to given
A man travels a certain by train in 4.2 hour at the speed of 44.8 km/hr.
Now, we use formula of speed to find distance covered by train.
→ speed = distance/time
→ 44.8 = distance/4.2
→ distance = 44.8 × 4.2
→ distance = 188.16 km
Now, to find time taken by train to cover 188.16 km distance with increase in speed 58.8 km/hr.
→ speed = distance/time
→ 58.8 = 188.16/time
→ time = 188.16/58.8
→ time = 16/5
→ time = 3.2 hour
Hence, train take 3.2 hour to cover same distance with speed 58.8 km/hr.
{Hence, train take 3 hour and 12 minute to cover same distance with speed 58.8 km/hr.}
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