Rohit walks at 17km/hr and Ruchira cycles at 22km/hr towards each other. What was the distance between them when they started if they meet after 44 minutes?
- A42.9km
- B35.8km
- C21.5km
- D28.6km
Solution & Step-by-step Explanation
Since Rohit and Ruchira are moving towards each other, their relative speed is the sum of their individual speeds.
Relative Speed=17km/hr+22km/hr=39km/hr
The time taken to meet is 44 minutes. Convert this time into hours:
Time=
60
44
hours=
15
11
hours
The initial distance between them is the distance covered at their relative speed:
Distance=Relative Speed×Time
Distance=39×
15
11
=
5
13×11
=
5
143
=28.6km
Relative Speed=17km/hr+22km/hr=39km/hr
The time taken to meet is 44 minutes. Convert this time into hours:
Time=
60
44
hours=
15
11
hours
The initial distance between them is the distance covered at their relative speed:
Distance=Relative Speed×Time
Distance=39×
15
11
=
5
13×11
=
5
143
=28.6km