![A man covers a distance of 110 km between two cities in 10 hours. He travelled partly on foot at 9 km/hr and partly on a bicycle at 15 km/hr. Find the distance travelled on foot.](https://www.gkseries.com/blog/wp-content/uploads/2023/07/A-man-covers-a-distance-of-110-km-between-two-cities-in-10-hours.-He-travelled-partly-on-foot-at-9-and-partly-on-a-bicycle-at-15-Find-the-distance-travelled-on-foot.jpg)
Question | A man covers a distance of 110 km between two cities in 10 hours. He travelled partly on foot at 9 km/hr and partly on a bicycle at 15 km/hr. Find the distance travelled on foot. | |
Type | multiple_choice | |
Option | 60 km | correct |
Option | 92 km | incorrect |
Option | 94 km | incorrect |
Option | 96 km | incorrect |
Let the distance travelled on foot = X km
,, the distance travelled on bicycle would be = (90 – X) km
Total time taken to cover the distance = 10 hrs
Time taken to cover the 110 km would be equal to the sum of the time taken to cover the distances partly on foot and partly on bicycle.
![](https://www.gkseries.com/blog/wp-content/uploads/2023/07/image-161.png)
So,X⁄9+110-X⁄15= 10
5X + 3(110 -X) = 45 * 10
5X + 330 – 3X = 450
2X =450 – 330
2X = 120 X =120⁄2= 60 km (Option A)