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A and B are 30 km away. Two cyclists with speeds of 23 km/h and 17 km/h respectively start simultaneously from A and B and travel in the same direction. They meet at a point C collinear with A and B. Find the distance between A and C.


1.

85 km


2.

90 km


3.

100 km


4.

115 km

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Best answer
Correct Answer - Option 4 :

115 km


Given:

Distance AB = 30 km

Speed of cyclist from A = 23 km/h

Speed of cyclist from B = 17 km/h

Formula Used:

Speed = Distance/Time

Concept Used:

If two objects are moving in the same direction with speeds S1 and S2,

Their relative speed is S1 – S2

Calculation:

Their relative speed = 23 – 17 = 6 km/h

Time in meeting at point C = 30/6 = 5 h

Distance AC = Distance traveled by A = 23 × 5 = 115 km

The distance between A and C is 115 km.

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