Question

A and B run a km race and A wins by 60 seconds. A and C run a km race and A wins by
375 metres. B and C run a km race and B wins by 30 seconds. Find the time each takes to
run a km.
1) 2 1/2 min, 3 1/2 min, 4 min.
2) 3 min., 4 min., 4 1/2min.
3) 3 1/2 min., 4 1/2 min., 5 min.
4) 4 1/2 min, 5 1/2 min, 6 min
​

Answer 1

◆ANSWER◆

If A covers a distance of 1 km in x seconds, then B covers the distance of 1 km in (x+25) seconds.

If A covers a distance of 1 km then in the same time C covers only 725 metres

If B covers the distance of 1 km in (x+25) seconds, then C covers the distance of 1 km in (x+55) seconds.

Also C covers a distance of 725 metres in x seconds.

Then

725×1000

x

=x+55

⇒x=145

⇒ A covers a distance of 1 km in 145 seconds, i.e., 2 min 25 sec.