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raphassaraf
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MNLP_M3_rag_dataset

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AQUA-RAT
AQUA-RAT-39997
Liam is pulled over for speeding just as he is arriving at work.He explains to the police officer that he could not afford to be late today, and has arrived at work only four minutes before he is to start. The officer explains that if Liam had driven 5mph slower for his whole commute, he would have arrived at work exactly on time. If Liam's commute is 20 miles long,how fast was he actually driving?(Assume that Liam drove at a constant speed for the duration of his commute.)
[ "40 mph", "45 mph", "48 mph", "52 mph" ]
A
Let t be the number of hours he would need to reach office on time. when he is driving with over speed, he reached office 4 min earlier! so the equation for this is s(t - 4/60) = 30 where s is the speed and 30 is the distance. if he decreases his speed by 5mph then he would have reached his office on time: (s-5)t = 30 if you solve above equations, you will arrive at t = 2/3 hr and s = 40mph therefore answer is A
AQUA-RAT
AQUA-RAT-39998
The average of the marks of 12 students in a class is 36. If the marks of each student are doubled, find the new average?
[ "72", "55", "44", "66" ]
A
Sum of the marks for the 12 students = 12 * 36 = 432. The marks of each student are doubled, the sum also will be doubled. The new sum = 432 * 2 = 864. So, the new average = 864/12 = 72. Answer: A
AQUA-RAT
AQUA-RAT-39999
A bicyclist travels uphill from town A to town B for 2 hours at an average speed of 6 miles per hour and returns along the same road at an average speed of 6 miles per hour. What is the bicyclist’s average speed for the round trip, in miles per hour?
[ "(a) 24/5", "(b) 6", "(c) 26/5", "(d) 27/5" ]
B
from the uphill we can find out the distance = 6*2 = 12 average speed = total distance/total time = 24/ (2+ (12/6)) = 6 Answer is B.
AQUA-RAT
AQUA-RAT-40000
A student got 72% in math and 84% in history. To get an overall average of 75%, how much should the student get in the third subject?
[ "65%", "67%", "69%", "71%" ]
C
72 + 84 + x = 3*75 x = 69 The answer is C.