Aptitude Discussion

Q. |
A man travelled a distance of 90Km in 9 hours partly on foot at 8 kmph and partly on bicycle at 17 kmph. Find the distance travelled on foot. |

✖ A. |
46 km |

✔ B. |
56 km |

✖ C. |
62 km |

✖ D. |
52 km |

**Solution:**

Option(**B**) is correct

Distance covered in 1 hour on foot = 8 km

Distance covered in 1 hour on bicycle = 17 km

Average distance covered in 1 hour = 90/9 km = 10km (mean distance)

Distance covered in Distance covered in

1 hour on foot 1 hour on bicycle

(8 km) (17 km)

\ /

Mean Distance

(10 km)

/ \

(17 – 10) : (10 – 8)

7 2

Thus out of 9 hours, he took 7 hours on foot

Distance covered on foot $= (8 \times 7)$ Km

$=56$ Km.

**Aman Mathur**

*()
*

Let distance travelled on foot be x km. Therefore, distance travelled by bicycle is (90-x) km.

Now, x/8 + (90-x)/17 = 9 (Total time taken)

=>x = 56