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8
How many seconds does Sandy take to cover a distance of 700 meters, if Sandy runs at a speed of 18 km/hr? Options: (A) 100 (B) 120 (C) 140 (D) 160 (E) 180
C
0.25
[ "<think>\nOkay, let's see. The problem is asking how many seconds Sandy takes to cover 700 meters when she runs at a speed of 18 km/h. The options are given as A) 100, B) 120, C) 140, D) 160, E) 180.\n\nFirst, I need to convert her speed from kilometers per hour to meters per second because the distance is given in...
[ 0, 0, 1, 0, 0, 1, 0, 0 ]
8
A train 300 m long takes 9 sec to cross a man walking at 3 kmph in a direction opposite to that of the train. Find the speed of the train. Options: a) 100 kmph, b) 90 kmph, c) 120 kmph, d) 117 kmph, e) 125 kmph
d
0
[ "<think>\nOkay, let's see. There's a train that's 300 meters long. It takes 9 seconds to cross a man walking at 3 km/h in a direction opposite to the train. I need to find the speed of the train. The options are given, so maybe I can use some relative motion here. \n\nFirst, I remember that when two objects are mov...
[ 0, 0, 0, 0, 0, 0, 0, 0 ]
8
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 9 sec. What is the length of the platform? Options: (A) 389 m (B) 350 m (C) 289 m (D) 799 m (E) 1000 m
E
0
[ "<think>\nOkay, let's try to solve this problem. So, there's a train that's 300 meters long. It crosses a platform in 39 seconds, and when it crosses a signal pole in 9 seconds. We need to find the length of the platform. The options are given, so maybe I can figure out the answer step by step.\n\nFirst, I remember...
[ 0, 0, 0, 0, 0, 0, 0, 0 ]
8
"A car going at 30 miles per hour set out on an 80-mile trip at 9:00 a.m. Exactly 10 minutes later, (...TRUNCATED)
E
0
["<think>\nOkay, let's see. There's a car going at 30 mph that starts at 9:00 a.m. and takes an 80-m(...TRUNCATED)
[ 0, 0, 0, 0, 0, 0, 0, 0 ]
8
"Two boats are heading towards each other at constant speeds of 4 miles/hr and 20 miles/hr respectiv(...TRUNCATED)
B
0.125
["<think>\nOkay, let's try to figure out this problem. So, there are two boats moving towards each o(...TRUNCATED)
[ 0, 0, 1, 0, 0, 0, 0, 0 ]
8
"A man leaves point P at 6 a.m. and reaches point Q at 10 a.m. Another man leaves point Q at 8 a.m. (...TRUNCATED)
C
0
["<think>\nOkay, let's see. There's this problem about two people meeting. So, first, I need to figu(...TRUNCATED)
[ 0, 0, 0, 0, 0, 0, 0, 0 ]
8
"In a 100 m race between Rose and Diane, Rose lost to Diane by 0.75 m. If Diane is given a 7 m head (...TRUNCATED)
b
0
["<think>\nOkay, let's try to figure out this problem. So, there's a 100-meter race between Rose and(...TRUNCATED)
[ 0, 0, 0, 0, 0, 0, 0, 0 ]
8
"A train 150 m long passes a man running at 5 km/hr in the same direction in which the train is goin(...TRUNCATED)
B
0.125
["<think>\nOkay, let's see. There's a train that's 150 meters long. It passes a man running at 5 km (...TRUNCATED)
[ 0, 0, 0, 1, 0, 0, 0, 0 ]
8
"Question: The ratio of the capacity to do work of a and b is 3 : 2. If they together can complete a(...TRUNCATED)
a
0
["<think>\nOkay, let me try to figure this problem out. So, the question is about work rates. The ra(...TRUNCATED)
[ 0, 0, 0, 0, 0, 0, 0, 0 ]
8
"Question: A 240 meter long train crosses a man standing on the platform in 4 sec. What is the speed(...TRUNCATED)
c
0.125
["<think>\nOkay, let's see. The problem is about a train crossing a man on a platform. The train is (...TRUNCATED)
[ 1, 0, 0, 0, 0, 0, 0, 0 ]
8
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