Paper 1 · Data Interpretation
UGC NET June 2023 (22.06.2023) Shift-II
Passage
The following table shows the average speed (in km per hour) of five trains A to E over six days from Monday to Saturday. Some values are missing and are to be calculated if required. Train A: 72, 80, missing, 64, 54, missing. Train B: 88, missing, 80, missing, 72, 90. Train C: 54, 70, 72, missing, 64, 60. Train D: missing, 120, 95, missing, 90, 110. Train E: 72, 80, 84, 75, missing, missing (the days run Monday, Tuesday, Wednesday, Thursday, Friday, Saturday). Based on the data, answer the questions that follow.
Train D runs 150 km more on Monday than on Thursday, and the times taken by the train on Monday and Thursday are 5 hours and 4 hours respectively. If the average speed of this train on Monday is 15 km per hour more than that on Thursday, then the mean of the distances travelled by the train on Monday and Thursday is
A365 km
B357 km
C370 km
D375 km ✓ Correct
Correct answer: (D) 375 km — The mean of the two distances is 375 km, so the answer is 375 km.
Explanation
★The mean of the two distances is 375 km, so the answer is 375 km.
★Let the Thursday distance be x and the Thursday speed be y.
★The Thursday distance is speed times time, so x equals 4y.
★The Monday distance is x plus 150 and equals the Monday speed y plus 15 times 5 hours.
★So x plus 150 equals 5y plus 75, giving x equal to 5y minus 75.
★Solving 4y equal to 5y minus 75 gives y equal to 75, so the Thursday distance is 300 and Monday is 450.
★The mean of 300 and 450 is 750 divided by 2, which is 375 km.
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