# Aptitude - Time and Distance

- Time and Distance - Formulas
- Time and Distance - General Questions
- Time and Distance - Data Sufficiency 1

*Directions to Solve*

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

- Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
- Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
- Give answer(E) if the data in both Statements I and II together are necessary to answer the question.

Two towns are connected by railway. Can you find the distance between them? | |

I. | The speed of the mail train is 12 km/hr more than that of an express train. |

II. | A mail train takes 40 minutes less than an express train to cover the distance. |

Let the distance between the two stations be *x* km.

** I.** Then, speed of the mail train = (*y* + 12) km/hr.

II. |
x |
- | x |
= | 40 | . |

y |
(y + 12) |
60 |

Thus, even I and II together do not give *x*.

Correct answer is (D).

The towns A, B and C are on a straight line. Town C is between A and B. The distance from A to B is 100 km. How far is A from C? | |

I. | The distance from A to B is 25% more than the distance from C to B. |

II. | The distance from A to C is of the distance C to B. |

.__________.______________________________________. A x C (100 - x) B

Let AC = *x* km. Then, CB = (100 -*x*) km.

** I.** AB = 125% of CB

100 = | 125 | x (100 - x) |

100 |

100 - x = |
100 x 100 | = 80 |

125 |

*x* = 20 km.

AC = 20 km.

Thus, I alone gives the answer.

II. AC = |
1 | CB |

4 |

x = |
1 | (100 - x) |

4 |

*5x* = 100

*x* = 20.

AC = 20 km.

Thus, II alone gives the answer.

Correct answer is (C).

Two cars pass each other in opposite direction. How long would they take to be 500 km apart? | |

I. | The sum of their speeds is 135 km/hr. |

II. | The difference of their speed is 25 km/hr. |

I gives, relative speed = 135 km/hr.

Time taken = | 500 | hrs. |

135 |

II does not give the relative speed.

I alone gives the answer and II is irrelevant.

Correct answer is (A).

How much time did X take to reach the destination? | |

I. | The ratio between the speed of X and Y is 3 : 4. |

II. | Y takes 36 minutes to reach the same destination. |

Since ratio of speed of X : Y is 3 : 4, then ratio of time will be 4 : 3.

** I.** If Y takes 3 min, then X takes 4 min.

II. If Y takes 36 min, then X takes |
4 | x 36 | min | = 48 min. | |

3 |

Thus, I and II together give the answer.

Correct answer is (E).