Question : Menu and Daya travel from point A to B, a distance of 105 km, at speeds of 10 km/hr and 25 km/hr, respectively. Daya reaches point B first and returns immediately and meets Menu at point C. Find the distance from point A to point C.
Option 1: 35 km
Option 2: 60 km
Option 3: 45 km
Option 4: 62 km
Correct Answer: 60 km
Solution :
The distance of A and B = 105 km
Let's assume that they meet at point C, and CB =
Then AC =
Speed of Daya = 25 km/hr
Speed of Menu = 10 km/hr
Distance covered by Daya =
Menu covers
Since, Time =
So,
⇒
⇒
⇒
So, distance from point A to point C = (105 - 45) = 60 km
Hence, the correct answer is 60 km.
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