Triplets Peter, Reeta, and Nikita have two ways for getting home from school each day: cycle on a tandem bike or walk. The bikecan 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 orcycling. The school is 5 km from home and their walking speed is 4 km/hour. a. On Monday, Nikita and Peter cycle, and Reeta walks. On reaching the point four-fifths of the way home the bike gets apuncture, 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 andReeta 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 andwalks the rest of the way, while Nikita heads back to pick up Peter. How far from school is Reeta when her siblings passher on the bike?d. On Thursday, it is Reeta’s turn to walk. Peter drops Nikita off at a certain point leaving her to walk home. Meanwhile,he returns to pick up Reeta and they cycle home together. If all three arrive home at the same time, how far from schoolare the drop-off and pick-up points?