# Moderate Alligations or Mixtures Solved QuestionAptitude 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.

## (1) Comment(s)

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