Question

17. A man travels one-third of the total distance by foot. He rides in a bus and covers two-third of the distance by bus. If the distance covered by bus was 100 km, what was the total distance travelled by him?​

Answer 1

Answer:

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Step-by-step explanation:

According to the problem, we had a man who travels one third of the total distance by foot and covers two thirds of the distance by bus. We need to find the total distance covered if he travelled 100 km by bus.

Let us assume the total distance covered by man be x km. From the information given in the problem we covered x3km (one third of total distance) by foot and covered 2x3km (two third of total distance) by bus ---(1).

But we have already given that he travelled 100km by bus. So, we equate 100km with 2x3km that we have just obtained.

So, we have 2x3=100.

⇒x=100×32.

⇒x=50×3.

⇒x=150km, which is the total distance travelled by man.

We have got a total distance covered by him of 150km.