Question

The ratio of speeds of X and Y is 5:6. If Y allows X a start of 70m in a 1.2 km race, then who will win the race and by what distance

Answer 1

Y wins the race by 156m.

Step-by-step explanation:

The ratio of speeds of X and Y is 5:6. Y allows X a start of 70m in a 1.2 km race.

To reach the winning post, X will have to cover a distance of (1200 - 70) m, i.e., 1130 m.

While X covers 5 m, Y covers 6 m.

While X covers 1130 m, Y covers (6 / 5) * 1130 = 1356 m.

Thus, when X reaches the winning post, Y covers 1356 m, which is ahead of X.

So Y wins the race by 156m.