3 (a) Here is part of the timetable for trains from Hinton to Jarmouth. All trains take the same time to travel from Hinton to Jarmouth. Hinton 10 47 ................ Jarmouth 11 15 12 35 (i) Complete the timetable. [2] (ii) Marge arrives at Hinton station exactly 20 minutes before the 10 47 train leaves. 12 11 1 10 2 9 3 8 4 7 5 6 Complete the clock diagram to show the time she arrives at Hinton station. [1] (b) Each day, a bus leaves Texford to travel to Cranbrook every 45 minutes. The first bus leaves Texford at 07 10. The last bus leaves Texford at 22 10. Work out the number of buses that travel from Texford to Cranbrook each day. ................................................. [3] (c) The cost of a bus pass increases every year. On 1st January 2022 a bus pass costs $50. On 1st January 2023 the cost of the bus pass increases by 10%. On 1st January 2024 the cost of the bus pass increases by 5%. Calculate the cost of the bus pass on 1st January 2024. $ ................................................. [3] © UCLES 2024 0580/31/M/J/24 7 (d) The Venn diagram shows information about the number of workers in a hotel who travel to work by bus (B) and train (T). (cid:31) B T 31 9 85 107 (i) Work out the number of workers in the hotel. ................................................. [1] (ii) Work out n(B,T). ................................................. [1] (iii) Explain in words what the number 85 in the Venn diagram represents. ............................................................................................................................................. [1] (iv) One of the workers is chosen at random. Find the probability that this worker travels to work by bus and train. ................................................. [1] (e) The hotel has single and double bedrooms in the ratio single|double = 3|8. There are 75 more double rooms than single rooms. Work out the number of single rooms. ................................................. [2] © UCLES 2024 0580/31/M/J/24 [Turn over 8