Paper 1 · Data Interpretation
UGC NET December 2023 (14.12.2023) Shift-I
Passage
The following table shows the number of employees working in five different colleges A to E, along with the ratio of Males to Females (M:F) among them. Based on the data in the table, answer the questions that follow.
College A: 3040 employees, ratio 13:6.
College B: 3360 employees, ratio 4:3.
College C: 2920 employees, ratio 9:11.
College D: 2760 employees, ratio 10:13.
College E: 2840 employees, ratio 13:7.
On Friday, if the ratio of speed of boat to speed of stream is 2:1, then what is the difference between the time taken by the boat to go upstream and to go downstream?
A36 hours ✓ Correct
B42 hours
C45 hours
D35 hours
Correct answer: (A) 36 hours — The difference between upstream and downstream time on Friday is 36 hours.
Explanation
★The difference between upstream and downstream time on Friday is 36 hours.
★Let the speed of boat be 2x and speed of stream be x, so the ratio is 2:1.
★Upstream speed is 2x minus x, which is x, and downstream speed is 2x plus x, which is 3x.
★Total time is 324 over x plus 324 over 3x, which equals 72.
★This gives 1296 over 3x equals 72, so x equals 6.
★Upstream time is 324 over 6, that is 54, and downstream time is 324 over 18, that is 18.
★The difference is 54 minus 18, which is 36 hours.
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