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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?

  1. A
    After 4.75 minutes
  2. B
    After 6.05 minutes
  3. C
    After 4.50 minutes
  4. D
    After 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

Practice this question

Try it yourself before checking the explanation above.

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?
A
After 4.75 minutes
B
After 6.05 minutes
C
After 4.50 minutes
D
After 6.75 minutes

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