Asked in Maths and Science Reasoning MockModerate

Andy wants a challenge and he has decided to cycle from Jamestown to Country End, a distance of 1600km. He never cycles more than 150km each day, but in order to conserve his energies, he has decided on the following restrictions: • After he has cycled 150km for each of two consecutive days he will cycle only 75km the next day.• On Saturdays he will cycle only 75km and on Sundays he will have a rest day.• On each day he will cycle the maximum permitted within these restrictions.Andy will leave Jamestown early on a Wednesday morning.If he completes the ride without any unexpected delays on what day of the week will Andy arrive in Country End?

Correct answer: D. D) Thursday

  • A. A) Monday
  • B. B) Tuesday
  • C. C) Wednesday
  • D. D) Thursday

Explanation

Andy starts his journey on an early Wednesday morning and plans to cycle a maximum of 150km each day, except for the restrictions mentioned.Let's break down Andy's journey based on the given restrictions:Wednesday: Andy cycles 150km.Thursday: Andy cycles 150km. (Total distance now is 300km)Friday: Due to the restriction, Andy cycles only 75km. (Total distance now is 375km)Saturday: Due to the restriction, Andy cycles only 75km. (Total distance now is 450km)Sunday: Andy takes a rest day. (Total distance remains 450km)Monday: Andy cycles 150km. (Total distance now is 600km)Tuesday: Andy cycles 150km. (Total distance now is 750km)Wednesday: Due to the restriction, Andy cycles only 75km. (Total distance now is 825km)Thursday: Andy cycles 150km. (Total distance now is 975km)Friday: Andy cycles 150km. (Total distance now is 1125km)Saturday: Due to the restriction, Andy cycles only 75km. (Total distance now is 1200km)Sunday: Rest day, no distance added. (Total distance remains 1200km)Monday: Andy cycles 150km. (Total distance is now 1350km)Tuesday: Andy cycles 150km. (Total distance is now 1500km)Wednesday: Due to the restriction, Andy cycles only 75km. (Total distance now is 1575km).After cycling 1575km, Andy still has 1600km - 1575km = 25km left to reach Country End. He only needs to cycle one more day.Thursday: 1575km + 25km = 1600kmAndy will arrive in Country End on Thursday, as he completes the ride without any unexpected delays.Therefore, the answer is D) Thursday.

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