CATArithmetic > Hard3(5−1)3(\sqrt{5}-1)3(5−1)12(5−2)12(\sqrt{5}-2)12(5−2)3(3+5)3(3+\sqrt{5})3(3+5)3(3−5)3(3-\sqrt{5})3(3−5)✅ Correct Option: 4Related questions:CAT 2019 Slot 1In a race of three horses, the first beat the second by 111111 metres and the third by 909090 metres. If the second beat the third by 808080 metres, what was the length, in metres, of the racecourse?CAT 2020 Slot 3AAA and BBB are two railway stations 90 km90 \mathrm{~km}90 km apart. A train leaves AAA at 9:009:009:00 am, heading towards BBB at a speed of 40 km/hr40 \mathrm{~km} / \mathrm{hr}40 km/hr. Another train leaves BBB at 10:3010:3010:30 am, heading towards AAA at a speed of 20 km/hr20 \mathrm{~km} / \mathrm{hr}20 km/hr. The trains meet each other atCAT 2018 Slot 2Points AAA and BBB are 150 km150 \mathrm{~km}150 km apart. Cars 111 and 222 travel from AAA to BBB, but car 222 starts from AAA when car 111 is already 20 km20 \mathrm{~km}20 km away from AAA. Each car travels at a speed of 100kmph100 \mathrm{kmph}100kmph for the first 50 km50 \mathrm{~km}50 km, at 50kmph50 \mathrm{kmph}50kmph for the next 50 km50 \mathrm{~km}50 km, and at 25kmph25 \mathrm{kmph}25kmph for the last 50 km50 \mathrm{~km}50 km. The distance, in km, between car 222 and BBB when car 111 reaches BBB is