Deepak walks around a rectangular Park of length 115 metre and the width 85 metre at 4 kilometre per hour in how much time will he complete 5 rounds
Answers
For 5 round Deepak will travel 5*400= 2000m= 2km
He can complete 4km per hour.
4km can complete in 1 hr
1km can complete in 1/4 hr
2km can complete in 2*1/4 hr= 2/4 hr= 1/2hr= 30min
Therefore, he completes 5 round in 30min.
Given data : Deepak walks around a rectangular Park of length 115 metre and the width 85 metre at 4 kilometre per hour.
To find : Time taken by Deepak to complete 5 round ?
Solution : According to given data :
⟹ Length = 115 metre
⟹ Breadth = 85 metre
⟹ Speed = 4 km/hr
Now,
⟹ 4 km/hr = 4000/3600 m/s
⟹ 4 km/hr = 10/9 m/s
Hence,
⟹ Speed = 10/9 m/s
Now,
⟹ Perimeter of rectangular park
= 2 ( length + breadth )
⟹ Perimeter of rectangular park
= 2 ( 115 + 85 )
⟹ Perimeter of rectangular park
= 2 ( 200 )
⟹ Perimeter of rectangular park
= 400 metre
Let, Perimeter of rectangular park be distance.
Now, we need to find time taken by deepak to complete one round of the rectangular park:
⟹ speed = distance/time
⟹ 10/9 = 400/time
⟹ 10 = 400/time * 9
⟹ 10 = 3600/time
⟹ time = 3600/10
⟹ time = 360 sec
Now, time taken by deepak to complete five round of the rectangular park:
⟹ Time = 360 * 5
⟹ Time = 1800 sec
Answer : Hence, Deepak take 1800 sec to complete five round of the rectangular park.
{More info : 1800 sec = 30 minute }