In a circular path of 619 m, Preeti and Rani start walking in opposite directions from the same point at the speed of 2.85 km/h and 5.4 km/h, respectively. When they will meet for the first time approximately?
- AAfter 4.75 minutes
- BAfter 6.05 minutes
- CAfter 4.50 minutes
- DAfter 6.75 minutes
Solution & Step-by-step Explanation
The distance to be covered in a circular path is the circumference: D=619m.
Since they move in opposite directions, their relative speed is the sum of their individual speeds:
Relative Speed=2.85km/h+5.4km/h=8.25km/h
Convert the speed from km/h to m/s:
Relative Speed=8.25×
18
5
m/s=
18
41.25
m/s
The time taken to meet for the first time is:
Time=
Relative Speed
Distance
=
18
41.25
619
=
41.25
619×18
=
41.25
11142
≈270.11seconds
Convert the time from seconds to minutes:
Time in minutes=
60
270.11
≈4.5018 minutes≈4.50 minutes
Since they move in opposite directions, their relative speed is the sum of their individual speeds:
Relative Speed=2.85km/h+5.4km/h=8.25km/h
Convert the speed from km/h to m/s:
Relative Speed=8.25×
18
5
m/s=
18
41.25
m/s
The time taken to meet for the first time is:
Time=
Relative Speed
Distance
=
18
41.25
619
=
41.25
619×18
=
41.25
11142
≈270.11seconds
Convert the time from seconds to minutes:
Time in minutes=
60
270.11
≈4.5018 minutes≈4.50 minutes