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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.

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.
QuestionA 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.
Typemultiple_choice
Option60 kmcorrect
Option92 kmincorrect
Option94 kmincorrect
Option96 kmincorrect
Solution:

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.

So,X9+110-X15= 10

5X + 3(110 -X) = 45 * 10

5X + 330 – 3X = 450

2X =450 – 330

2X = 120 X =1202= 60 km (Option A)

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