CAT 1997 — QA Question 39
Direction: Answer the questions based on the following information.
Boston is 4 hr ahead of Frankfurt and 2 hr behind India. X leaves Frankfurt at 6 p.m. on Friday and reaches Boston the next day. After waiting there for 2 hr, he leaves exactly at noon and reaches India at 1 a.m. On his return journey, he takes the same route as before, but halts at Boston for 1hr less than his previous halt there. He then proceeds to Frankfurt.
If his journey, including stoppage, is covered at an average speed of 180 mph, what is the distance between Frankfurt and India?
Answer & solution
- A
3,600 miles
4,500 miles
- C
5,580 miles
- D
Daat insufficient
Let us convert all the time to same time zone, viz. Boston. So X left Frankfurt at 6 p.m. on Friday (Frankfurt time) or 10 p.m. on Friday (Boston time). X reached Boston at 10 a.m. on Saturday (Boston time). In other words, X has taken 12 hr in all to go from Frankfurt to Boston. After 2 hr wait, X leaves at 12 noon (Boston time). Now X reaches India at 1 a.m. on Sunday (Indian time) or 11 a.m. on Saturday (Boston time). Thus, X takes 11 hr in all to go from Boston to India.
Overall, X has travelled for 25 hr (including stoppages) at an average speed of 180 miles per hour. Hence, the
distance between Frankfurt and India is (25 × 180) = 4500 miles.