Two runners A and B stood at each end of a 10km cross country track. They started running towards each other at the same time. Runners A ran at a constant speed of 3m/s while runner B ran at a constant speed of 2m/s.
a) How far would runner A have run when he met runner B?
b) How much time had passed from the start when runners A and B met each other?
Answers
Given data :
- length of track = 10 km = 10000 m
- speed of runner A = 3 m/s
- speed of runner B = 2 m/s
Solution : Here we use formula of relative speed,
⟹ speed (A + B) = length of track/total time
⟹ 3 + 2 = 10000/total time
⟹ total time = 10000/(3+2)
⟹ total time = 10000/5
⟹ total time = 2000 sec = 33. 33 minutes
Hence, 33.33 minutes passed from the start when runners A and B met each other.
Now,
⟹ distance cover by runner A = speed * time
⟹ distance cover by runner A = 3 * 2000
⟹ distance cover by runner A = 6000 m
⟹ distance cover by runner A = 6 km
Hence, runner A have run 6 km when he met runner B.
Answer :
a) Runner A have run 6 km when he met runner B.
b) 33.33 minutes passed from the start when runners A and B met each other.
Learn more :
A train has to cover 360 km in 6 hours. It travels at a speed of 55 km per hour for
the first four hours. To reach the d...
https://brainly.in/question/31443509
To improve the safety of motorists, modern cars are built so that front-end crumples upon impact. A 1200kg car is travel...
https://brainly.in/question/38584454