In a 500 metres race, B starts 45 metres ahead of A, but A wins the race while B is still 35 metres behind. What is the ratio of the speeds of A to B assuming that both start at the same time ?

Let's solve this step-by-step. The key phrase is 'both start at the same time', which is a common feature in these problems to signal that the time taken is the same for both runners [38]. This means we just need to compare the distances they ran. 1