Logical Reasoning Discussion

**Common Information**

There are seven cities P, Q, R, S, T, U, and V. The table below shows all the possible direct routes to and fro between any two of the cities. It also gives both the Air as well as the Land route distances (in miles) between those cities and the time required (in hrs) for the respective journeys. A person on any one of the above seven places can travel to any one of the remaining 6 places using Air or Land route only. The person can change his/her mode of transport (Air/Land) at any of the above seven places.

Table below can be scrolled horizontally

Direct Routes |
Air Distance (in miles) |
Air Time (in hrs) |
Land Distance (in miles) |
Land Time (in hrs) |
---|---|---|---|---|

P – Q | 1100 | 3 | 900 | 6 |

P – S | 2200 | 6 | 2400 | 10 |

P – R | 700 | 2 | 1000 | 6 |

Q – U | 1800 | 5 | 2200 | 11 |

Q – T | 800 | 3 | 1100 | 6 |

R – T | 1000 | 3 | 1400 | 10 |

S – T | 800 | 3 | 1000 | 5 |

S – V | 2200 | 6 | 2800 | 14 |

T – V | 2200 | 6 | 3000 | 15 |

U – V | 800 | 4 | 1200 | 6 |

Q. |
What is the shortest distance travelled by a person to reach V from P? |

✔ A. |
3500 miles |

✖ B. |
3700 miles |

✖ C. |
3900 miles |

✖ D. |
4100 miles |

✖ E. |
4300 miles |

**Solution:**

Option(**A**) is correct

Here, consider the path and mode of transport which contribute the shortest distance and calculate using the same methodology as shown in the solution of question 1.

So, shortest distance = P-Q (Land 900) + Q-U (Air 1800) + U-V (Air 800) = 3500 miles

Hence, **option A** is the correct choice.