# Aptitude - Time and Distance

Exercise : Time and Distance - General Questions

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

6.

In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:

Answer: Option

Explanation:

Let the duration of the flight be *x* hours.

Then, | 600 | - | 600 | = 200 |

x |
x + (1/2) |

600 | - | 1200 | = 200 | |

x |
2x + 1 |

*x*(2*x* + 1) = 3

2*x*^{2} + *x* - 3 = 0

(2*x* + 3)(*x* - 1) = 0

*x* = 1 hr. [neglecting the -ve value of *x*]

7.

A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.

Answer: Option

Explanation:

(1/2)x |
+ | (1/2)x |
= 10 |

21 | 24 |

x |
+ | x |
= 20 | |

21 | 24 |

15*x* = 168 x 20

x = |
168 x 20 | = 224 km. | ||

15 |

8.

The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:

Answer: Option

Explanation:

Let the speed of two trains be 7*x* and 8*x* km/hr.

Then, 8x = |
400 | = 100 | ||

4 |

x = |
100 | = 12.5 | ||

8 |

Speed of first train = (7 x 12.5) km/hr = 87.5 km/hr.

9.

A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:

Answer: Option

Explanation:

Total time taken = | 160 | + | 160 | hrs. | = | 9 | hrs. | |

64 | 80 | 2 |

Average speed = | 320 x | 2 | km/hr | = 71.11 km/hr. | |

9 |

10.

A car travelling with of its actual speed covers 42 km in 1 hr 40 min 48 sec. Find the actual speed of the car.

Answer: Option

Explanation:

Time taken = 1 hr 40 min 48 sec = 1 hr 40 | 4 | min = 1 | 51 | hrs = | 126 | hrs. |

5 | 75 | 75 |

Let the actual speed be *x* km/hr.

Then, | 5 | x x |
126 | = 42 |

7 | 75 |

x = |
42 x 7 x 75 | = 35 km/hr. | ||

5 x 126 |

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