A and B are participants in a 1,800 m circular race. A is running at a speed of 24 km/h and B is running at a speed of 15 km/h. If both start from the same point and at the same time and run in the same direction, find the time when they will meet again. (up to two decimal points)
- A500 sec
- B600 sec
- C400 sec
- D720 sec
Solution & Step-by-step Explanation
First, let's convert the speeds from km/h to m/s:
Speed of A=24×
18
5
=
3
20
m/s
Speed of B=15×
18
5
=
6
25
m/s
Since they are running in the same direction, their relative speed is:
Relative Speed=Speed of A−Speed of B=
3
20
−
6
25
=
6
40−25
=
6
15
=
2
5
m/s
The time taken to meet for the first time on the circular track is:
Time=
Relative Speed
Length of circular track
Time=
2
5
1800
=
5
1800×2
=360×2=720 seconds
Speed of A=24×
18
5
=
3
20
m/s
Speed of B=15×
18
5
=
6
25
m/s
Since they are running in the same direction, their relative speed is:
Relative Speed=Speed of A−Speed of B=
3
20
−
6
25
=
6
40−25
=
6
15
=
2
5
m/s
The time taken to meet for the first time on the circular track is:
Time=
Relative Speed
Length of circular track
Time=
2
5
1800
=
5
1800×2
=360×2=720 seconds