Play tennis

Peter and Jirka agreed to go play tennis. Peter's path to the tennis court is 800 meters longer and leads around Jirka's house. Peter comes out first and then picks up Jirka. Together they go at the same average speed as Peter went, so they reach the place in 22 minutes. Peter walked a total of 3 km. At what speed did the boys go and how far is Jirka's house from the tennis court?

Correct result:

j =  2.2 km
v =  6 km/h

Solution:

j=30.8=115=115 km=2.2 km
t=22 min h=22/60  h=0.36667 h v=jt=2.20.3667=6 km/h



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