A train starts moving from X at 5:00 p.m. and moves towards Y with a speed of 55km/hr. Another train starts moving from Y at 7:00 p.m. and moves towards X with a speed of 40km/hr. Both of them meet at 11:00 p.m. at Z. What is the ratio of XZ and YZ?
- A33 : 16
- B7 : 5
- C29 : 27
- D11 : 9
Solution & Step-by-step Explanation
1. Distance XZ traveled by the first train:
Start time =5:00 p.m.
Meeting time at Z =11:00 p.m.
Total duration =11−5=6 hours
Speed =55km/hr
Distance XZ=Speed×Time=55×6=330km
Distance YZ traveled by the second train:
Start time =7:00 p.m.
Meeting time at Z =11:00 p.m.
Total duration =11−7=4 hours
Speed =40km/hr
Distance YZ=Speed×Time=40×4=160km
Ratio of XZ and YZ:
Ratio=
YZ
XZ
=
160
330
=
16
33
Thus, the ratio is 33:16.
Start time =5:00 p.m.
Meeting time at Z =11:00 p.m.
Total duration =11−5=6 hours
Speed =55km/hr
Distance XZ=Speed×Time=55×6=330km
Distance YZ traveled by the second train:
Start time =7:00 p.m.
Meeting time at Z =11:00 p.m.
Total duration =11−7=4 hours
Speed =40km/hr
Distance YZ=Speed×Time=40×4=160km
Ratio of XZ and YZ:
Ratio=
YZ
XZ
=
160
330
=
16
33
Thus, the ratio is 33:16.