Question

in a circular race of 1200 m,a and b start from the same point and at the same time with speeds of 27 kmph and 45 kmph.Find when will they meet again for the first time on the tracewhen they are running in the same direction and the opposite direction

Answer 1

Given :-

• Length of race = 1200 m .
• Speed of A = 27 km/h
• Speed of B = 45 km/h .

To Find :-

• when will they meet again for the first time on the track when they are running in the same direction and the opposite direction ?

Solution :-

→ usual speed of both in same direction = S2 - S1 = 45 - 27 = 18 km/h = 18 * (5/18) = 5 m/s .

so,

→ Time taken by them to meet for the first time on the track while running in same direction = Length of track / usual speed in same direction = 1200 / 5 = 240 seconds = 4 minutes (Ans.)

and,

→ usual speed of both in opposite direction = S2 + S1 = 45 + 27 = 72 km/h = 72 * (5/18) = 20 m/s .

so,

→ Time taken by them to meet for the first time on the track while running in opposite direction = Length of track / usual speed in opposite direction = 1200 / 20 = 60 seconds = 1 minute (Ans.)

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