16 Tandem Cycling Triplets Peter, Reeta and Nikita have two ways for getting home from either one or two riders at a time. Regardless of the number of people school each day: cycle on a tandem bike or walk. The bike can carry pedalling, cycling speed is 5 times walking speed. The triplets always leave school at the same time and always use the same path between school and home, whether walking or cycling. The school is 5 km from home and their walking speed is 4 kilometres per hour. a On Monday, Nikita and Peter cycle and Reeta walks. On reaching the point four-fifths of the way home the bike gets a puncture, so Nikita and Peter walk the rest of the way home. How far from school is Reeta when the cyclists arrive home? b On Tuesday, Peter and Reeta ride the bike and Nikita walks. When the cyclists arrive home, Peter hops off the bike and Reeta rides back towards school to collect Nikita. How far from school is Nikita when Reeta reaches her? c On Wednesday, Reeta and Nikita take the bike and Peter walks. When the cyclists are halfway home, Reeta hops off and walks the rest of the way, while Nikita heads back to pick up Peter. How far from school is Reeta when her siblings pass her on the bike? off at a

Triplets Peter, Reeta and Nikita have two ways for getting home from school each day: cycle on a tandem bike or walk. The bike can carry either one or two riders at a time. Regardless of the number of people pedalling, cycling speed is 5 times walking speed. The triplets always leave school at the same time and always use the same path between school and home, whether walking or cycling. The school is 5 km from home and their walking speed is 4 kilometres per hour. ㅊ a On Monday, Nikita and Peter cycle and Reeta walks. On reaching the point four-fifths of the way home the bike gets a puncture, so Nikita and Peter walk the rest of the way home. How far from school is Reeta when the cyclists arrive home? b On Tuesday, Peter and Reeta ride the bike and Nikita walks. When the cyclists arrive home, Peter hops off the bike and Reeta rides back towards school to collect Nikita. How far from school is Nikita when Reeta reaches her? c On Wednesday, Reeta and Nikita take the bike and Peter…

An emergency vehicle can take one of two routes from a given site to the hospital immediately after a strong rainstorm. The region is crossed by creeks that tend to flood during rainstorm events. Route A would take 20 minutes, but it has four creek intersections where the road can flood, and each time that the emergency vehicle needs to cross a flooded road there is a 5-minute delay. Route B is longer and would take 35 minutes, but it has only two creek intersections where the road can flood. Assume that the probability of flooding after the rainstorm event at any of those creek

Luke and Slim have only one horse. Luke rides for an agreed-on distance and then ties up the horse for Slim, who has been walking. Meanwhile, Luke walks on ahead. They alternate the walking and the riding. If they walk 4 miles per hour and ride 12 miles per hour, what part of the time is the horse resting?