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abdulhakeem 2025-01-30 23:44:12 -06:00
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{
"question": "When the water is cold Ray swims a mile in 16 minutes. When the water is warm Ray swims a mile in 2 minutes more than twice as long. How much longer does Ray take to swim 3 miles on a hot day than a cold day?",
"answer": "Cold water mile = <<16=16>>16 minutes\nWarm water mile = 2+2(16)=34 minutes\n3 miles in cold water: 3(16)=<<3*16=48>>48 minutes\n3 miles in warm water: 3(34)=<<3*34=102>>102 minutes\nRay takes 102-48=<<102-48=54>>54 minutes longer\n#### 54",
"id_orig": 554,
"id_shuffled": 93,
"question_annotated": "When the water is cold, {name,Ray} swims a {unit,mile} in {t1,16} minutes. When the water is warm, {name,Ray} swims a {unit,mile} in {n,2} minutes more than {mult,twice} as long. How much longer does {name,Ray} take to swim {d,3} {unit,mile}s on a warm day than {dd,4} {unit,mile}s on a cold day?\n\n#init:\n- name = sample(names)\n- unit = sample(['mile', 'kilometer'])\n- $t1 = range(10, 50)\n- $n = range(1, 10)\n- $mult = sample(multiple_ice+multi_times)\n- $d = range(2, 15)\n- $dd = range(2, 10)\n\n#conditions:\n- t1 < 60\n- n + mult * t1 < 60\n- d * (n + mult * t1) - dd * t1 > 0\n\n#answer: d * (n + mult * t1) - dd * t1",
"answer_annotated": "Cold water {unit} = <<{t1}={t1}>>{t1} minutes\nWarm water {unit} = {n}+{mult}({t1})={n + mult * t1} minutes\n{dd} {unit}s in cold water: {dd}({t1})=<<{dd}*{t1}={dd*t1}>>{dd*t1} minutes\n{d} {unit}s in warm water: {d}({n + mult * t1})=<<{d}*{n + mult * t1}={d*(n + mult * t1)}>>{d*(n + mult * t1)} minutes\n{name} takes {d*(n + mult * t1)}-{dd*t1}=<<{d*(n + mult * t1)}-{dd*t1}={d * (n + mult * t1) - dd * t1}>>{d * (n + mult * t1) - dd * t1} minutes longer\n#### {d * (n + mult * t1) - dd * t1}"
}