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CAT DILR MOCKTEST 1

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SOLUTION

PROBLEM 6

DIRECTIONS FOR Q.21 Q.24 A train runs through cities A, B, C, D, E, F G and H. The line graph indicates the time schedule of the train including times of arrival and departure Train schedule 1000 H 860 Z 800 G 750 750 U 700 F IVALUE] 574 E 468 468 2 500 400 300 200 100 D 380 380 231 231 B 140 140 A 0 7:00 8:40 8:50 10:10 10:12 55 2:00 13:20 13:30 1445 15:00 17:00 17:10 18:25 TIME

ANSWER THE FOLLOWING: Q21. The overall average speed(in kmph) of the entire trip excluding stoppage time is nearly? (a) 46 km/h (b) 75 km/h (c) 8I km/h (d) 65 km/h Q22. What percentage of time of the entire trip was actually spent travelling between the cities? (a) 76% (b) 42.4% (c) 7.6% (d) 92% Q23. The total stoppage time at the cities in the first half and second half of the total distance is in the ratio Q24. Between how many pairs of consecutive stations does the train run below the overall average speed of the entire trip? (Non- MCo)

Q21. The overall average speed(in kmph) of the entire trip excluding stoppage time is nearly? (a) 46 km/h (b) 75 km/h (c) 81 km/h (d) 65 km/h Train schedule 1000 E 900 800 U 700 600 500 H 860 G 750 750 F 574 574 E 468 468 D 380 380 300 200 100 231 231 B 140 140 A 0 07:00 08:40 0850 10:10 10:12 11:55 1200 13:20 13:30 14:45 5:00 17:00 17:10 18:25 TIME

Q21. The overall average speed (in kmph) of the entire trip excluding stoppage time is nearly? (a) 46 km/h (b) 75 km/h (c) 81 km/h (d) 65 km/h Solution: The total distance covered is 860 km and the total time taken excluding the stoppage is: (lI hours 25 minutes 52 minutes) 10 hours 33 minutes or 10.5 hours. Hence, the average speed = (860, 105 ) = 8 l .9 = 81 kmph (approximately) Answer: Option (c)

Q22. What percentage of time of the entire trip was actually spent travelling between the cities? (a) 76% (b) 42.4% (c) 7.6% (d) 92% Train schedule 1000 E 900 Z 800 U 700 600 500 H 860 G 750 750 F 574 574 E 468 468 D 380 380 300 200 100 231 231 B 140 140 A 0 07:00 08:40 0850 10:10 10:12 11:55 1200 13:20 13:30 14:45 5:00 17:00 17:10 18:25 TIME

Q22.What percentage of time of the entire trip was actually spent travelling between the cities? (a) 76% (b) 42.4% (c) 7.6% (d) 92% Solution: The total time of the journey is I hours 25 minutes and the travelling time excluding the stoppage time is 10 hours 33 minutes Hence, the required percentage is [(1 0.5 / 1 1 .5) * 1 001-91 .3%-92% Answer: Option (d)