Answer The time taken to reach the line on the first lap by Steve, Mark and Paul is 1/35, 1/32 and 5/80 of an hour respectively. The joggers will all be on this line again together at a time equivalent to the least common multiple of the fractions First write them with the same denominator. 1/35 = 32/1120 1/32 = 35/1120 5/80 = 42/1120 Now find the least common multiple of the numerators (top lines), 32, 35 and 42. This is 3360. So the time taken for them to be on the line together is 3360/1120 = 3 hours |