A and B run a kilometer and A wins by 25 Seconds. A and C run a kilometer and A wins by 275m. When B and C run the same distance B wins by 30 seconds. The time taken by A to run a kilometer is......

1
by debanti

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A and B run a kilometer and A wins by 25 Seconds. A and C run a kilometer and A wins by 275m. When B and C run the same distance B wins by 30 seconds. The time taken by A to run a kilometer is......

1
by debanti

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A reaches 25 sec before B...........**(i)**

A was 275 m forward then C........**(ii)**

B reaches 30 sec before C..........**(iii)**

From (i) and (ii),

A reaches (25 + 30) sec before C. = 55 sec*(TIME)*

A was 275 m forward then C.*(DISTANCE)* **[****FROM EQUATION (ii)]**

Therefore, speed of A = (275/55) m/s = 5 m/s.........(iv) [SPEED = DISTANCE/TIME]

NOW,

speed of A = 5 m/s

and distance = 1 km = 1000 m

Therefore, time taken by A to run 1 kilometer = (1000/5) sec**[TIME = DISTANCE/SPEED]**

= 200 sec

A was 275 m forward then C........

B reaches 30 sec before C..........

From (i) and (ii),

A reaches (25 + 30) sec before C. = 55 sec

A was 275 m forward then C.

Therefore, speed of A = (275/55) m/s = 5 m/s.........(iv) [SPEED = DISTANCE/TIME]

NOW,

speed of A = 5 m/s

and distance = 1 km = 1000 m

Therefore, time taken by A to run 1 kilometer = (1000/5) sec

= 200 sec